{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "from torch.nn import init\n",
    "import torchvision\n",
    "import torchvision.transforms as T\n",
    "import torch.optim as optim\n",
    "from torch.utils.data import DataLoader\n",
    "from torch.utils.data import sampler\n",
    "import torchvision.datasets as dset\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as gridspec\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams['figure.figsize'] = (10.0, 8.0) # set default size of plots\n",
    "plt.rcParams['image.interpolation'] = 'nearest'\n",
    "plt.rcParams['image.cmap'] = 'gray'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "def show_images(images):\n",
    "    images = np.reshape(images, [images.shape[0], -1])  # images reshape to (batch_size, D)\n",
    "    sqrtn = int(np.ceil(np.sqrt(images.shape[0])))\n",
    "    sqrtimg = int(np.ceil(np.sqrt(images.shape[1])))\n",
    "\n",
    "    fig = plt.figure(figsize=(sqrtn, sqrtn))\n",
    "    gs = gridspec.GridSpec(sqrtn, sqrtn)\n",
    "    gs.update(wspace=0.05, hspace=0.05)\n",
    "\n",
    "    for i, img in enumerate(images):\n",
    "        ax = plt.subplot(gs[i])\n",
    "        plt.axis('off')\n",
    "        ax.set_xticklabels([])\n",
    "        ax.set_yticklabels([])\n",
    "        ax.set_aspect('equal')\n",
    "        plt.imshow(img.reshape([sqrtimg,sqrtimg]))\n",
    "    return\n",
    "\n",
    "def preprocess_img(x):\n",
    "    return 2 * x - 1.0\n",
    "\n",
    "def deprocess_img(x):\n",
    "    return (x + 1.0) / 2.0\n",
    "\n",
    "def rel_error(x,y):\n",
    "    return np.max(np.abs(x - y) / (np.maximum(1e-8, np.abs(x) + np.abs(y))))\n",
    "\n",
    "def count_params(model):\n",
    "    return np.sum([np.prod(p.size()) for p in model.parameters()])\n",
    "\n",
    "def bce_loss(input, target):\n",
    "    neg_abs = - input.abs()\n",
    "    loss = input.clamp(min=0) - input * target + (1 + neg_abs.exp()).log()\n",
    "    return loss.mean()    \n",
    "    \n",
    "answers = dict(np.load('gan-checks-tf.npz'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "class ChunkSampler(sampler.Sampler):\n",
    "    def __init__(self, num_samples, start=0):\n",
    "        self.num_samples = num_samples\n",
    "        self.start = start\n",
    "        \n",
    "    def __iter__(self):\n",
    "        return iter(range(self.start, self.start + self.num_samples))\n",
    "    \n",
    "    def __len__(self):\n",
    "        return self.num_samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96f719a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "NUM_TRAIN = 50000\n",
    "NUM_VAL = 5000\n",
    "\n",
    "NOISE_DIM = 96\n",
    "batch_size = 128\n",
    "\n",
    "mnist_train = dset.MNIST('./cs231n/datasets/MNIST_data', train=True, transform=T.ToTensor())\n",
    "loader_train = DataLoader(mnist_train, batch_size=batch_size, sampler=ChunkSampler(NUM_TRAIN, 0))\n",
    "\n",
    "mnist_val = dset.MNIST('./cs231n/datasets/MNIST_data', train=True, transform=T.ToTensor())\n",
    "loader_val = DataLoader(mnist_val, batch_size=batch_size, sampler=ChunkSampler(NUM_VAL, NUM_TRAIN))\n",
    "\n",
    "img = loader_train.__iter__().next()[0].view(batch_size, 784).numpy().squeeze()\n",
    "show_images(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sample_noise(batch_size, dim):\n",
    "    return torch.rand((batch_size, dim)) * 2 - 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "All tests passed!\n"
     ]
    }
   ],
   "source": [
    "def test_sample_noise():\n",
    "    batch_size = 3\n",
    "    dim = 4\n",
    "    torch.manual_seed(231)\n",
    "    z = sample_noise(batch_size, dim)\n",
    "    np_z = z.cpu().numpy()\n",
    "    assert np_z.shape == (batch_size, dim)\n",
    "    assert torch.is_tensor(z)\n",
    "    assert np.all(np_z >= -1.0) and np.all(np_z <= 1.0)\n",
    "    assert np.any(np_z < 0.0) and np.any(np_z > 0.0)\n",
    "    print('All tests passed!')\n",
    "    \n",
    "test_sample_noise()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Flatten(nn.Module):\n",
    "    def forward(self, x):\n",
    "        N, C, W, H = x.size()\n",
    "        return x.view(N, -1)\n",
    "    \n",
    "class Unflatten(nn.Module):\n",
    "    def __init__(self, N=-1, C=128, H=7, W=7):\n",
    "        super().__init__()\n",
    "        self.N = N\n",
    "        self.C = C\n",
    "        self.H = H\n",
    "        self.W = W\n",
    "    def forward(self, x):\n",
    "        return x.view(self.N, self.C, self.H, self.W)\n",
    "    \n",
    "def initialize_weights(m):\n",
    "    if isinstance(m, nn.Linear) or isinstance(m, nn.ConvTranspose2d):\n",
    "        init.xavier_normal(m.weight.data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "dtype = torch.FloatTensor"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Discriminator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "def discriminator():\n",
    "    model = nn.Sequential(\n",
    "        Flatten(),\n",
    "        nn.Linear(784, 256),\n",
    "        nn.LeakyReLU(inplace=True),\n",
    "        nn.Linear(256, 256),\n",
    "        nn.LeakyReLU(inplace=True),\n",
    "        nn.Linear(256, 1),\n",
    "    )\n",
    "    return model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in discriminator.\n"
     ]
    }
   ],
   "source": [
    "def test_discriminator(true_count=267009):\n",
    "    model = discriminator()\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in discriminator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in discriminator.')     \n",
    "\n",
    "test_discriminator()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "def discriminator_loss(logits_real, logits_fake):\n",
    "    real_N = logits_real.size()\n",
    "    real_labels = torch.ones(real_N, ).type(dtype)\n",
    "    fake_N = logits_fake.size()\n",
    "    fake_labels = torch.zeros(fake_N, ).type(dtype)\n",
    "    \n",
    "    loss_real = torch.mean(bce_loss(logits_real, real_labels))\n",
    "    loss_fake = torch.mean(bce_loss(logits_fake, fake_labels))\n",
    "    \n",
    "    return loss_real + loss_fake"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum error in d_loss: 3.97058e-09\n"
     ]
    }
   ],
   "source": [
    "def test_discriminator_loss(logits_real, logits_fake, d_loss_true):\n",
    "    d_loss = discriminator_loss(torch.Tensor(logits_real).type(dtype),\n",
    "                                torch.Tensor(logits_fake).type(dtype)).cpu().numpy()\n",
    "    print(\"Maximum error in d_loss: %g\"%rel_error(d_loss_true, d_loss))\n",
    "\n",
    "test_discriminator_loss(answers['logits_real'], answers['logits_fake'],\n",
    "                        answers['d_loss_true'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generator(noise_dim=NOISE_DIM):\n",
    "    model = nn.Sequential(\n",
    "        nn.Linear(noise_dim, 1024),\n",
    "        nn.ReLU(inplace=True),\n",
    "        nn.Linear(1024, 1024),\n",
    "        nn.ReLU(inplace=True),\n",
    "        nn.Linear(1024, 784),\n",
    "        nn.Tanh(),\n",
    "    )\n",
    "    return model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in generator.\n"
     ]
    }
   ],
   "source": [
    "def test_generator(true_count=1858320):\n",
    "    model = generator(4)\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in generator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in generator.')\n",
    "\n",
    "test_generator()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generator_loss(logits_fake):\n",
    "    fake_N = logits_fake.size()\n",
    "    fake_labels = torch.ones(fake_N, ).type(dtype)\n",
    "    \n",
    "    return torch.mean(bce_loss(logits_fake, fake_labels))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum error in g_loss: 4.4518e-09\n"
     ]
    }
   ],
   "source": [
    "def test_generator_loss(logits_fake, g_loss_true):\n",
    "    g_loss = generator_loss(torch.Tensor(logits_fake).type(dtype)).cpu().numpy()\n",
    "    print(\"Maximum error in g_loss: %g\"%rel_error(g_loss_true, g_loss))\n",
    "\n",
    "test_generator_loss(answers['logits_fake'], answers['g_loss_true'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training a GAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_optimizer(model):\n",
    "    return optim.Adam(model.parameters(), lr=1e-3, betas=(0.5, 0.999))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "def run_a_gan(D, G, D_solver, G_solver, D_loss, G_loss, batch_size=128, noise_size=96, num_epochs=10, show_every=250):\n",
    "    iter_count = 0\n",
    "    for epoch in range(num_epochs):\n",
    "        for x, _ in loader_train:\n",
    "            if len(x) != batch_size:\n",
    "                continue\n",
    "            for k in range(1):\n",
    "                real_data = x.type(dtype)\n",
    "                logits_real = D(preprocess_img(x)).type(dtype)\n",
    "\n",
    "                fake_seed = sample_noise(batch_size, noise_size).type(dtype)\n",
    "                fake_img = G(fake_seed).detach()\n",
    "                logits_fake = D(fake_img.view(batch_size, 1, 28, 28))\n",
    "\n",
    "                D_solver.zero_grad()\n",
    "                d_error = D_loss(logits_real, logits_fake)\n",
    "                d_error.backward()\n",
    "                D_solver.step()\n",
    "            \n",
    "            fake_seed = sample_noise(batch_size, noise_size).type(dtype)\n",
    "            fake_img = G(fake_seed)\n",
    "            logits_fake = D(fake_img.view(batch_size, 1, 28, 28))\n",
    "            \n",
    "            G_solver.zero_grad()\n",
    "            g_error = G_loss(logits_fake)\n",
    "            g_error.backward()\n",
    "            G_solver.step()\n",
    "\n",
    "            if (iter_count % show_every == 0):\n",
    "                print('Iter: {}, D: {:.4}, G:{:.4}'.format(iter_count, d_error.item(), g_error.item()))\n",
    "                imgs_numpy = fake_img.data.cpu().numpy()\n",
    "                show_images(imgs_numpy[0:16])\n",
    "                plt.show()\n",
    "                print()\n",
    "            iter_count += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0, D: 1.341, G:0.67\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96f48a860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250, D: 1.494, G:0.8062\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb9f3aadc18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 500, D: 0.9748, G:1.579\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96f8c4a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750, D: 0.9965, G:1.268\n"
     ]
    },
    {
     "data": {
      "image/png": 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8+5qaGlsr+AyeRawTLEJQFusRXmefffaxNcICwRfmGkQxeDf4HOnE8Av19fW2VqQP8zvW3axZsxIyJ0kykKSqEkh8F/xfNBZoFbPZ+HX8ju8EE/qtb31LUvC/yJN97LHH9NWvflWS9PGPf1xS0NIk8pM1xjVgd8lA4p577LGH+aE+dooPHYsvjOd3Sj7j/yNGTOyRODnXJzZK2SJat6ury9ocgXBYD/ieWC9kOpG7DYqBiGPHjjUkY29ADKyULPGlkGTo4bdJIXuJcWJBcH+sLb/HuVxO06ZNkxTi11gZoCuWC/Fk/HOuhYUxePBgmxP7wRrvv//+JfPC6sHvhbHmGnFDBXgd8hawEuE9KArh+XrooYckdfMSPHsnnHCCpMDbEF/3ZaI8s/ydOWy00Ua2RoyVORBzr1QSMidJ0k+kKp+ZzododXxm/IH58+ebBoTFo/TP58NSmYN/AqP4yiuvmK/G9S+99NKi76DV0NRUauGD7rvvvpK6Y3ho4s9//vOSgt/Hd+MMMDgBvuO1+ooVK0zTwvgST8YXYp74PSAEKHvLLbeYr89nYYmxSFhftD2aOkZ3qTuq4JsDsp5Re5oif+uKK64oSCFHHt+Se9bX1xvyUlHF/bIa+NHMgAq1pUuXWq41+eXsCShEWSdZZcR6y5Q32jqBer6DZ8wL4DMzNvxj9mvJkiUWjSGTjbi+rwHAD2aNsRSbmposIoE15RtV+gaFZIyB8mQO3nfffXYNrk80JyuLL0sSMidJ0k+kKp8ZZo6qHdhVtG0+nzctis+Gz0hcEcR+z3veIynE+vClL7roImPxyPSiGR99i/FHQRNqRkF38oHxgaQQf8W3xC+KBRaZOKZHidh/w/fB14TpBBlBEXxCsrzOOussmzM+KDnAIDE+HJYJ/j1aHpRftWqV+a2sBWharqWOFCwTxMf9V6xYYT4864dlQD43Atqxd/jb7e3txgRjRbFexIoZN1YAuevcG4smFq7lW0/FwljJa4exhtVuaGgwKwa/3tdp83f2kOw9GgouWrTIGknwf3BEfIbfsQKor8b6om/7Sy+9ZFYEvBHPKFxFpVKVmU3oxhf6M+BRo0ZZUwIWD9OFh4xJQPLwcpCMMX36dCss4IHwBAXmL6YLDzLJJKTObbrppla8wDx5WEidjNMdSdL3YYe4KAGzEWWAkmINSFJB4UFi8OJOnTrVyhVJT8U9IPTG+uJuoNR8X63JkydbyIcHgHAe5mVHR0fZ0BTrgeLknrW1tZZg8Yc//CH+qn3HN4/ngWbdt9xySwu9QNARQsOkffHFFyWFxgvsNYJiuOSSS6zPFs8byhwTPZ7jmDFjClJQHjx3KIfW1lZL5WUMpFbyDJK0wRh819QnnnjCEntQjv5Z4RmlEQIuCms7Y8YMSd0KEWWIEN7ieU+FFkmSDDDpUwkkSfGEguKOnCATiR6YFSAUWg7Sh5JItNDjjz9uSEyfLcgRzFFSRtF2JGbEfZulbvMf85fro13LEWD0lAYBQHzMu87OTkMlnxwAkQTyY0ZSrM5abb/99lZkQuiD9QS9cAmYpw8zgb6LFy82BKDXMuNAspCZ4gjCLfEcMV/9ESw+NIQ78/Of/1xSMHEffPBBszqwLiAgcUtIhyRVldRV9pA9aG5utj2DmMIKYZzLly+3OZKuyr5jZZGU0t7ebgUjWI0QTjx3cX+ueF4g+WuvvWbjxE0BmXnOKZvFQsXdwv3h+XnwwQdtrlwTK4Jn7Y033kjInCTJQJKqkLmtra0gBUREY8ZN+yC48MXQehSlg3ZoTpALWbNmTUkrG3wZXwCAX4rWhZSA6t9nn33s8C0SXPypATHtT6GFLyfE71q8eLFpc8ZIMgBogV+LL0tRPCj3j3/8w/6NBiYF9JZbbpEUijiwOLBu8NPwz4cOHWr/xkcEEfGZX3zxxaLFxLry+45Pf/311xsisFegD1YAFgS+P0k1WEQzZswwa4rifUhSWjwR0jvllFMkhdDaqaeeKin4nvX19SVhK5CVpJb41A7O0mLveFYZ2+zZs81K4BnFamNszJs9pRQ3PsDQrx9cAPvPvlCcwTNMogv7NXnyZFsb5gy68xw///zzCZmTJBlIUlVoCo2MVsF3owxst912M3aP4LkveQMRSQEtl0KJ3wd6w3yjUfG3QHV8S8JCUP0bbLCB3Rd2lYQDWNRYQEy0OZo5LudDa9MOGJ+MtSGBAoTEH6Jt0kc/+lFLI8TCgJUnSQHUIvSHdmct8VmXL19uyI8FQlEGDRC8YHUwbtYaqyCfz9v6+SQRWGTGDyJjGWH1jB492vaVZAoKW2Diab4I20vozhdvSKX7wrNF2DMW9oH7gL6Eir773e/a/5Hqi+VBaJIGfvHZafGYVq9ebc8G6wd3ArMPNwC6UvzDurOHo0ePtn8TiuQdOeKII0rm15MkZE6SpJ9IVT4zPiUMNJoRhi6fz5ectUSbGN/gDj/Bt72Rgs/i2/bgs9B69vbbb5cUEIvkEXyOM844w9IG0fhcC0S75ZZbSk6BxPfGd+V6c+bMsTHBcMLe40uTvkoBPK1/YKR/97vfWWshhPHj5+J3+Vg8iIK18cEPftDW0SdQoO2XLl1atm0QyMg9+fyyZctKWiIxV9ATn5X1Af3wtR988EGLx/N/WDeUk5L+Crew5557Sgp5COzT2Wefbamh/I2U4MjKsDmScswegojxeVn+cAOeUZ5N2HvQlQhF3Ogx9umlgOrwCjwHJIKwlzD/WE6HHnqoNd3wSTpc46abbko+c5IkA0mqQmYypLzfFcdut9hiC0lB86Pl8EPwt2h4FrXvkdStLdGcaH6+g58NOqJJyVSiQQD+0UknnVRyfd+kLs4AIwbrWxzFfg4ppfjApA0SJ6UohM/hU+HvfelLX7I0PXyi+BwqKaT+4d/jS8FmE2+fOXOmoQtj9CdLxm1o4znCrrI/MOs1NTX2NxACPxxEJkfAlyvefPPNkrqtEDgDrBqKMMgI8y2LuRY8DKmt06ZNs8w4xKd1xns4YsSIoiw+vz719fVmLRAtYK0YG1wN7DbMND+7urpsnTlCCGuL6A0REPx7nlF4EbiC3/zmNzYfn8LK/BYvXpyQOUmSgSRVsdn+HGG0Xlzoj3amwRl5xeTt0vIHP4VSMjTywoULzUfBryBLCX+DjCmQCz+M7DIy0o488kjLxEH7oXWJO8eCJvSthEHCp556yvy1uIhfCo0TaJgO4/7d735XkvSRj3xEUnfsG+0NG0wWFFwA6wnbjR8JGtAIYdKkSYYe/F/cbqecMEfYfZ999uqrrxq/wfz9CZOUnBIjxtejYGHDDTe08ZDNxneJhOBr+nxvIhLEsF944QWbi89uK2dVer+T+7GmK1assIYCxMCx5LAeiQwQZcB3Jha+cuVKsyz4DvuMj+zRnecdS4Tn/cUXXzS/nqxB1ibrvOgsScicJEk/kaqQGY2BhgI50IZLly41FMN3xu9F24MEaFv8RXyKm2++2ZAKvwkEhs2lxS7td8ipBTHwTy+44AKzJhCQFb84FhAozviSQky5tbXVCsiJAePnwCpTTQV7SQ40hfCTJ08u4RoOOeQQSQEJ8b9pF0TDOTKeyDobPHiwXYM5cw1/UB4CmsG+49PFedfwAX5dmCP3IFeZ5wHf9rbbbrNm8MyVaiH+TjUb/jnjgl1nTV544QX7v6xja2Nh72CVoyYNkrqfJTLu2BMyvOAGsAAYG+tBFuO1115raBr70fHa8JzDFeArY4ligXz605+2Z5+x8pO5VCoJmZMk6SdSFZsNE4rmQjOCTrlczvw+MsFoT4Pfi3Yny8U3zfvc5z5nCEQmFM0C0Fj4e2hF8sGJe4O6K1asMITiGBSyxThq9Oqrry5hsxEQHzRvaGiwe/mqIFAKhp11pRaX+b/xxhslzDN+HRlU+Jf4oCAx90D7t7S0GE9A5hFrwBE/RxxxRI9N8Indcp34fuwzMXKsDfYD5MAyo/HAypUrbW5xYz4pPBfwGjDLWFn42HG+AqhKvTqxaWrnjznmmJJcAZ5N5kcFVENDg+0deeAw0XyGXHj2AYuAn3vuuadZEHAhWJ5EJGjxxPOAdQm682zNnz/f1mibbbaRFCwFxvnQQw8lNjtJkoEkfTo4Dq2JdseXrq2tNQQk7xXtDdqCZMQ5QR/Y76222sqYTK6LVgMZ0LZoVlg/fB6Qq7W11bRrnK8tBRYybgZHRRH3ZX5IPp+33Gt8zfgwMSmw9aAVGjxuVk+8HLTCvwOh8bOpCqMixx/hsvXWWxtbCrKizVlv3wSfDDDWw7PyuVxOP/jBDySFo2TJSMN6wucEKWHXaVJ37733GuJSsw17S6N/1gvU5znE2gIFb7jhBmtrC3eB9Qc/ETfBpykjVhwWIEjd1NRka0QEAivik5/8ZNHfeXbJ8gNNDznkEENx9o5nD4Tmvlhk/M73kJaWFpszViTPFBaSzxXIkj6Z2dyUBHgepLFjx5pjzwNJaxc+S+8vSsF8UfcBBxxgSSLQ/JiQJFNQzgaZgNnKBvL7pptuag8J6XeQaKQP3nnnnSVmNqY/aZO8kI2NjfZQMCYecEgiEjswpzCheFGfe+65kmQLQnH8zrUg4Pg7P/l+S0uLzRmyBgUEUferX/2q7MvMHFEy7OHQoUNLTrlAQfEdHmAf3otLO/kMDypj5iVHQdCih1AOD33cpID0Ycxr7ovSOfbYY0vMbFwExsFLNmHCBHObKP5gDHyHsBYvPS8g4a2bbrqpJKUVkozfIYBZO1xRfz7zhAkTrFAF95H74bakUyCTJBlgUhUy01YHcwoTzy4WJSqALmgg0jdBLpCK3wn1nHDCCXZd2tKQcEICCOYV1yDMQQgHGTRokCEDiSU/+tGPJBWVs5WcIEioBRSPyzQ9wuACkBqI6YxJCIlHaCKXyxW1/Ymvz325JhYGVgAJOHEYhH/HxfdSsFJ82yD20JNX8XPA3mEJ4FaBIIzPWxage0tLS0lDAa7P331IDdcJCyMar1kbIKYvdY0LLWiggaVHJ1MQMZfL2XywSkB6+pnzjLC2hJkIq9188822n7QDojwUAgwXiWuD5JjwyNChQ81SIM2X5xvzP/XNTpJkgEmfCi3wQ3wf5fHjx5tfC/qgaf3JijaAt1AJLVsoFEqQ3ycA+JMj0fKgJdLZ2VlyhhH+Pto+1uqEbXxSR1w+h6WBFqc5H740mhhiifWN/9+TT6A6QrIMAtr7ftqjR4824gXxp0LG83trDkU+JeONT6nwjQVAG9bQF68gMRfg00mZP8QXITuE8YBgFD1MnDjRLBLfmzwqprCbQdL6hAs+O2zYMLs2oUB8VdaA9fX7xD7U1tbaXrA2jC3rREeuAVcQP2P409yf551xxG2RepKEzEmS9BOpKp0TbQu64o/GyRxoZz6D5vco6n0nCrSvu+46PfDAA0X3Q0OiqdC6/sQJEI6khvHjx1v4hFAUvoxvCSMF3w9rgvkx1pUrVxqywwH4c5d8K18QB59w5cqV9h2uFZ8EEY8Djc0awpAyh2XLlpk/B9rw04ecEHxJj+ikWz7++OM2djgDfz6yb15AKIXxLlu2zOYIEmExgMje/8VSgmvAovrXv/5lc/Stl71lEI+N+XP9uDiI/2OtmBfRC5jvuF2UFMJof//73y30FzfmiK9JcwTCrHGbICmEDtdbbz2L3rAnlM8yz0olIXOSJP1EqvKZkyRJ8u6VhMxJkvQTSS9zkiT9RKoiwOivRA0yRAymek1NjZFGED8QGxAAkDlQ+SRKEB5YtWqV/Q0iCsILEgNyjXQ3hDxYiLFzzjnHOkAwLkJmkBqvv/660f6kOr5bJCt/GomTYrIkDttI7545enKzHJkldT8nEFJZEs+RlFyeFZ6/StzJcj3cpdJ+ZT19Nn4XpNL3AIKUz02aNMkSWxC/734PM8dfjc+8/vrrFxVa+GMzhw4darm1vIgMDKaQF5UJeEZ3yJAhxooSy4Nt9Pm2xAlp6+Jb9K633noWs/XMIPddtGhRxS9zTU2NbUaW+E39b0u1L3Mul+t17O/mORJHZ2w+upDP50saVniJoxflpNwaZbVr8srKf6+2tjZTWSOVvszJzE6SpJ9IVcg8fPjwogwpsnpA6NGjR1tWGGY05jPfId6HzUypAAAgAElEQVRKPA5UB1XHjh1rJjDmMiWA5LDyd376g834flNTk8VsfRkhGVILFiz4r5vZ7yTSvVvMbF8ptjbi1yueY2/zi5Ewa917+3uMvr4hIW6kN6d7ujbo7VG9XIZbT5KQOUmSfiJVEWCgKKiGRsG5f+GFF6xRHO2BfOM836yMTCAqbmiNI0kbbbSRpJAZgyXA/agUguwgqwb0Hzx4sI0VS4D/I0Mnlv+0L+jrr3sjVaqRatu0xvJ2rkNviNyXe/n1icWTR/76q1evLvGJGaMnr3z9eGQJ2P18tp7PdOT5Z4+xQOOxl2sQIQW0r1QSMidJ0k+kT8gMq0yFVNzW1dcAI2gmfzwJPjZ51atWrbLm93SA4DOw22hB2giB7mgyxrl8+XJDc9oUkaPt87qltwcRvcTVYIyNaiTqgqkC47No76z7l0M7P+a18U2rnbff6+bmZpsL6+xZ5XIoF0tvYbms7/I3ntFyoTuPjv46fqysN89fS0uLPaP33XefpNDih3xu8sh9pxWE5zI+qM9XsvmqxN6kKgJsyy23LEih46A3kfP5vJ1+OHXqVEnhTB2Kstkc+kbRjRFTubm52TpMsui+sJs+XBBitGyhhQ9z+tCHPmSth1hUzB4W7uWXX66KAPMPWVYYg9MQ6K+MHHjggVb8ziYSL+ec60qlklBZXwgwH6NFWfvyVYrpUdCEG9dff30rFmAvfKfTSqWSUFk8R04qzXJdpPDCoUQha/3YaIZB6x+emT322EOnnXaa4vvwcnPqCmvo+3v556S1tbWkIUNP8+tJkpmdJEk/kT6daIF2gVwiJNTW1hZ3TJQUircpfaPhANljPnS1zTbbmAYEgengyTVBApoR3HnnnZICQnOt6dOn22dAFbSy77wpVWZee7OP333zNywAtC4lhm1tbXaSAq4GvbwrDd/gThCCiyULRZHe5pjL5UrWhvHssccekkLzBMJ9rD+E5N57721ZW8wRl6JSF6YnM7mndfLmbLkkDX+KBveghRUmM58DsSFkW1parJMnTQE5n8qHRxHWlPFBxL755psl5bPsYbWuUkLmJEn6iVSFzKAqmgPNRtH25ZdfbumaaFbak6Lt0OagLn4iWv/www83v5vPohHRbpzFxDk+9LAGJUkdPeiggyxchV/vW8LEUg3hxN9AYJAHS4Czl/HZaYVUW1tr7YdpAkdbYtrj+L7dflw9ESNZiIxkzbEcooOiNAfgLOp99tlHUjhR4vbbb5cUzgCbPXu2EaH0Q4c7oREeiF3OQpKyUymlnhHLf69c22T+xjrjz/OssB808LvkkkskhT7hEyZMMD8aspXGETyLkJycZe0tDJC7rq6uJIxWLnxViSRkTpKkn0hVbPbQoUMLUun5xYSV5syZYxoXbQdyQcXTAI9TEWiBi5acOnWqnQPFmTucaEAoCu3HuUWcPgjqop0vu+wy8y/5G0jA+J599tk+pXP65naTJk2SFM5aZky+8Vt7e7utFyE2wmZYD3zWh0iQKhMs+pzOCVqzz5xjzLnM+Pr4lhxKMH36dLPQmANN+Un9ZZ0qTaXsScpVTZXzlaVu6417wDizl/i/nDEOzwMfwr789re/NQ4EboBW0TzHtJXimfRnS8PrdHV1Ze4vf/enkmRJQuYkSfqJVIXMra2tBUklNcv4xfPnzy85yY54Mw3dSCIgeYNY9ZQpUyR1x/yI1RGrxCfH3+J+NCD39aCMob29vag8UwrnQIMYnZ2dVZVA+iQQ/ETQlRLQW2+9VVLwf/Bzc7mcpbqed955kkLMHdYebU4cdG2kUmSOEySYIyhzwgknSJI+//nPSwr+LghNHXmcMIT1BJrjY8KVEJGg4V4lkoXalRRaMJf4EAJY6ksvvVRSiHRQjIOlgTWH/1tXV6fbbrtNUmiYTxRn9913lxQsUnIj/JjjtE9faOH9/hRnTpJkgElVbDaHvqGB8RfGjx8vqTvGBsMMIsLaweaSVUNLVbJvaDfa1NRkGhBfBa1HDI8jWL7whS8UXeuyyy6TJGvV29jYaBoQNETKtTHtrfRtzZo1JUwqVgFN8UFq0BVhHBMnTtTFF18sKZwDjCYmE2zGjBmSSrtUvJMFIHF6JePh5wc/+EFJYZ+xukBbz742NTXp/PPPlxT8UObPed033HCDpGAh+UbwsVTjR3vLyfMOa9asscgDvjKWBaeKMjb2lu8SG9544401bdo0SWEPyZfgFFQaZtDaGIsNvinOUGOsvUUiepOEzEmS9BOpCplhW9F++AU0nY9zhYmh8hnQEtTlxHkyZ2gAP3z4cNPe/B9sKYwxv+OPPProo5KCZoubmtOEPM79lkqPhKlWmBfxS84h5khPmp2TJcfY5s+fr9NPP11SyCUnbovm99/tCyJXHaMsE0unTBTU4Zhaog0+tso4Ozo6DKHII6DFEz4zh+GdfPLJRd8tJ1mWUk/z8Jl6IGHMZpMTwDMBh0FGG0fJMj+e/7lz51okhWNlqTEgN4Lngtz8rHh6fPgfghWTmuAnSTJApSo2e+LEiQUp+Ddom9g/hrUle4bqIdhLyibxt0EsWO85c+boZz/7maTgo1GdQ2yS74KCIBoMOTHtN954w7Q6WWTkFaP9Fi9e3Kc4MzFYkGDfffeVFLS6L2MkztrQ0GB+JIiAjwYCggDV+MpZ+cprE2fmCFdQDvQhE4rqOcZ30EEHSeouXcXyYf+xkGCQySbkeeit7POtsZf9TDzH2traojhzVsMBKTSX5HmBiSZDj2gCVt2ZZ54pqXt/eJ6JYsCAU7bLM8oxO94vjufCv+OyyKz59SQJmZMk6SdSlc9MNhNsNn4jSN3Y2GifgZEljowfiG9MBg1+MNlEjz/+uPnM+NVofOKxoBzazzftI4c4PugNNhF/n3HGUglr6o8zhY0nswl/nfui1YlvH3300ZYdhkVDhtv1118vSdp///2LxlHJuN6ORnkI9yPjjgoh5ux5CMZFbH3rrbc2X5jY+VZbbSVJVqtOeynWy7dQKifVsNmeGY7Xh3vBveA7g4igKcgNd4AFtd122+lrX/uapJCDTbSGfSYXnfn4tYob/vE3n3NfLe9RlZk9bNiwor7ZDJCBtbS02CZBdPGwY+YQmOeF42UmEeSBBx6wgPxRRx0lKZBpBPGZNGYqLzXmNgpjwoQJdh9eHD7Dxs2bN69PzQn8aZa+YylrxH15cOrr661MknmhhCBLMLf5jt/Ual7cvpjZzIlnA1MSQg5yh3nwO0q+rq7OlCcmOYk/cUqkJP3pT3+y77w1PknBxai2OYFP5yzXV41ngOfI9+kCHEhw4oVlP9544w0Lb+EC4joR5sLsJkTpzX4SrxoaGkqKMPraBD+Z2UmS9BOpCpmbmpoKUvFZw1LQbB0dHYZMIC2EAGf48l2QixRBTPV7773XmgxAaPEdEGLPPfeUFNCdhHjQH8Tu7OzUuHHjJAVEAAEY8yuvvNInAsxrT67LGPh/El1AmuHDhxt5cvbZZ0sK6ISp/pnPfEZSIFxAPC+V7N3aEGD+HGxcJvaOOfJ30Li1tbXoiCApJE+AhjwfhLmw5Mqd/NCbm1EundMTXrEZz795Tlh3LE1cJKxInju6xNbX1xtJiTmNSc53cTMuvPBCSdKVV16ZNXb7tw+nRadhJGROkmQgSVXIPGTIkIJUmhBO8fpLL71k6Yz4FyR0xN0pJemwww6TFBLVYyLJn2Bx8MEH2/Wl4JeQtAByE8jHHx49erQhPkhBIgAhqrlz51aFzL6Hsv87/iYaGq3Pmg0dOtTGi88JGUhiBf6kT7ivpFtjT6c9vPX/FfMCWdemaAYkifkAqRvhmBNNKUiQIdwFH4KVwjr1dhBeOSmHzH4d4iaFlMUyfn6yZ3HaphTSV1mX5uZm86vha0j8gegljAq5xl6SVhxbDB6RfUPFVAKZJMkAk6qQedSoUQUpIB9oCpLOmjXLtB7+E58lFOSTA9BYaLpx48ZZOIPvUJxBe9MLLrhAUmhJg29NEoNvByMFVMcPon3vDTfc0CsylztbqDfJ8vOamppKwi+sAUhASAj+geQFz2L3xPRGCQhVlUBW8zxkfSdGdp4HEJfiGN/40TfZq2Q8UfvakqQRfxoFRSurVq0qac/DPTyL7y1Qfm9pabHPMAZYa0JWt9xyi6SQvko6M5+LuRU/Dv6P52HWrFkJmZMkGUhSFTKPHj26IIX4KK1RYh8QROC6pGSiGfksDC7oiS81ZMiQkpMq0IwE8wnQ0ywPX5JCeErZtt9+e0tS8Ccd0BZ2xowZJVodzdhTAkOWZKVVxucD+8QBfCTGxt89WnlWNZ/PZ5bNlUOtt8ZXkMofIF6p9IaatbW1JegGQsOvwGFgMfF5rDzKXOvr6zOb+5WzPjifGabax+rj9En/TMTIKwXOhrViTXO5nI0JKwSLj+eZsZE7wLME/3PddddJ6vax4U68RE0IEzInSTKQpCpkHjlyZEEKWgftivYbNGiQFRyQ1kYaHy2AaDjgiyLwqRYtWmQ+MzE6GHJidWi5u+66S1JgpvFLaHQwc+bMEp+M+DIM4tKlS/sUZ14bAb1ZC7T3Jz7xCUkhdvnjH/9YUvChYTcrSX1E1ibOvDYCyrEXpPeSMQX7S9khe0jxfk+N/r2UK7SI/q/opxR8Y6wSf7gDSM36+rOWC4WCoTR5EiAtXADW4+WXXy4ptFEm3wEL5dVXX7VnMSuzL2WAJUkywKSqQgtigWgStCj52EuWLLFSQ9oHYfcjoBCITRYXzPjo0aPNN6bJ+ve+9z1JIY7srwm7zf+TnTN27Fgr2yNDJ85Wq1R68rcqZYHLMeJoYmKu/gAxLB8sEgrhKXTo6OjosVl8NcL4crnc21q0QVQDFps5kefN7xTafP3rX5dU3Byw3ImdWZJ12mRcR4A/TZTA/46V6K3GOMuP+7AXlL4yX84ZJw5NvQH1BcSuc7mczXVtztSWEjInSdJvpCpkxo+BZYZFpsqns7PTMrpgJdFg5FuTEYSWI3caTXbcccdZmxb8KOLMoBCtX7kXviV+OuzgpptuWnL2MX4QjGVPUg51PSJXe43NN9+8iGOQQgYY2VA00IPh/+EPfygpFPT3dGZxtVLpecnVyDrrrGMoQ1x1l112Kbo+mXhYUVhVNGd8u+boj91Zs2aNZQV639kfVud9av5++OGHG9uO8PzyWfaUCATPKI034oMksiyhrEy8LEnInCRJP5GqkBnNRK0m6EvmVWNjozWgB11owYK/TTM7/ASqZaiqWrBggTUpB4E5nR40R7uBslgG+Npo9RdffNF8JVhVWHWya3qStW37Gn8utgyYHweuwQGAThTBo+1B8p7QqtLjYLPG93ZKTU2N+ZsgLX4puckc6cuekTPg5xhnuVUyR/8Z/1MK6MlnsTC5N7wK4mvV29vb7Xkl4gICMy9y0bGmaHEFIjOneL5Yiz6fv1JJyJwkST+RqpAZdOEn2ibOjEFgmEFvYqjE3cgEo86V1ix77bWX+SMgElU6HLlJHJam9/5w6jjbCD+IjDPie7TpfaeFtcKq+MUvfmHIzDhh9EHmnXfeWVLIQKoknpzF4v4nJD7aRupmpmnoh2UE+nH0EFbXcccdV/T/XuJ5VDJH/5lySM9eEMP244+7nEgByUHsU0891bqP8BzzLtAcn6gOFgeMvOcm6uvrbYwgcrnjdSuRPpnZTA7zEFOpqanJguIknBNOgbJnk5kADyqho7333ttasBC+QBFwf0ogSabg72wGvzc3N5ec+ki7lx122KGaqZuwCZhcvZUlMk/SR7fZZhtLceVhYX6YpJAnfQk7eZN0bcSX4vV2z/32209S98kchKKYA22DcIlIs+UBrkYqmWNPoUP2zKfHslf+hE/mT5LPPvvsY+4kgLPbbrtJCqd80DADsi3LNVi5cqXdz6cR45pUKsnMTpKkn0ifCi0wLQiY83uhUDBUxJQkaA4h5k1oiiIgRlatWqU99thDUigjw9yg8JsTNND6fB6yDY06fPhw07okttDGCNRZsmTJ25LO2ds5VbErQKEKZAma2IfPqhHfxgh5O9M5s+YIohCyXLJkiRGd3/nOdyQFa4l16EsTgkrmSCGJP9miXNKOJ8uyUkhx1eLGf3SQpWMs6M1nCbkhWYUtcbFM1v1TOmeSJANM+tQ2CAod7cM1hg4dan+DxAFxQVG0oNc+tBNatWqVkQfQ+rQH4j4QRvit/KTBAdfO5/NmAaA5fepeR0dHn5C5mkKASqWaAopKZW2QOQsJ+/JdkBGLqC/InCU9NfQrd7IF/4ZHwXrsLawXo7u3ouCReI79udNxumz8s1Ao9HrfhMxJkgwwqQqZN9hgg4IUAt9oHxBxzZo1RsETcoJxprEZDep94wHS+x5//PESBhA0hTXHHyf9Ee1PeIt7DB061EoyCUWR8MK1Ozs718pn9po2S8v2Namj3L3iPesNPd8On7nScNfbMcdyUs0caU5QLiT11mftb54N96dh+PlgkS5fvrzk+j219o3Fh51yuZy9CzzfvZ0XliUJmZMk6SdSFTInSZLk3SsJmZMk6SeSXuYkSfqJVJXO+Z/qH1Wp9EbMDB48uNeOIuXCGoTTtt5668zr95Y/S1UNYY84NbNSosh3hfRzefzxxy311X8nOrOpiDwZM2ZMQZKlI9Lhg4SINWvWWLoj4TfmyLUJBUJEci/IxUKhYCEo5k1okLlwP1JbSXelQw1/P+SQQ3TWWWcV3YdznOhAU47EJDmJ65Zba4hbn+DBflNPTn18vIdZoTf/rDBfPu9DcjfeeKOdLeZ7fUe9xyoiwKrymd9tL/PbIfFCtbW1FaRQLskxMZWwub6gwuczV3INNvGYY46RFMrreHm8jBkzJrNNK+IfhIMPPrgghcIAXyzz2c9+1lrakGePEEOlyAClR7SBB3vChAmWg43wGe5DxIL2yJxRzRqgQIYPH26f9eWk0TnLNsfGxsaCFHLBaQpQScw8bpRf7rOVKGH2mTUEEIhDe9l8882tuWWWJDY7SZIBJgmZezio22viXC5XYl779eutmqqtrc2y0vgsMXjaJFW6J3V1dfbdW2+9VVLIQc8ys8mvJ0aPOUtGnBSytBByB/zxLb5UkKN2//3vf9vfQB2aQfCTxguUeTIeBFQcMWKEVVZhMlMTEB1cl7mHHpFramosw/CZZ54puif7TNzXZ3Ehm2yyiZnxxJ7ZS+ZT6R62tLTYntGUAvclaqyQkDlJkoEk72pk/k8U2pcjwHq6P03PKbL3rV18UTw136DL8uXLDflAT/wq0Bw/Fh8O4ssf7D506FBDAn//qDa2aID7779/QQrNDyGBQMq6ujrziUEuas19dRH15jR8x7JobGw0pKeeneopjnHBDwY5GS/15qDjwoULS6qKQEEaX9x3331VZfHhp3/729+WVJq/7fcQMpP9aG9vL2nx86UvfUlSaILB2mHNkMPPNfn7LrvsYtxMNIeiNUmHrSdJMsDkXYPMaKGmpiarW6bpH1qt0pBONYgeI/PgwYMLUkAF0Cq+L9rZH/PpO5AwZn6PD3tDq4M4tDK64oorJEnvfe97JQX/l2uB5HEHECp/8F99I33vM2+yySYFKTDTtGKK6219K2WOzqU7SFbO8he/+EVJ3Q3f6TSD5YC1AUJTCcfcQD/mQejqueees/nCUNNInvWLa9LZQywAnqG4rS4HLnifGCuBNSVSwB7SuLK5udlq+Ak14YczRpr5U8dP3jUWCdzL6tWrrY6Bsfrw1X8tNOU32p/jg2Dq3HPPPZLCwh522GEWV0SIiT7yyCMVj/Wt8fb6QscLxYNOSIYHHNMon89br+7jjz9eUijHpB1SbwUXUjDNeDkxdbkfZjVlpPvvv7+kcMIHsscee1hDBn/GMOvtH4QtttiiIIX2Pbw8zLGhoUG77rqrpNA8gReN7zBHmkdwaghE2Y477mjnfvGiH3bYYZKkk046SVJoq4MCO+SQQySFHuGY6VtvvbV1VOVvvOiY948++qjNcfLkyQUplM/6/nSNjY2mdC699FJJ4SUlrlyuo6dUDA7Mlc/Qp471Z12PPfZYSd0hPyn0r0N22203c3m4vj91JYWmkiQZYFJVBlgl4rUZGp/T/9CYmDJoRU4FHDNmjCEDJY3XXnutpMrN5752NyQTyCclMKd1113XEjrQwJ6c8mMDffmZz+fN5MY04zuQP4SZME1BZN+FlOwtKSRlYLZCWnn5yEc+IimcBoJgyo4cOdLGx32wmug0ee6550oKbZrIcuPnxz/+cQsj+dAXFg2lsaAQ3Vz9qSl//OMfDd1ZL6w/QlSxcF32h3mxT+uuu64l44CmoCz77xM8sHL4uXr1auvdznnLuC3MkzJcrDAQGSuMv5PxJoXz1jDJsRQqlYTMSZL0E3lbfOaeiCk0ERqX5ntTpkyRJMstpkFaTU2NndkLinB9tFhWrnJfpNzZvswDrU6YYdy4cYbazAdCgzOVIEYQLBCSJR566CFDI5IsmA8+HPfFDyehgnvvtNNOkrrbBZ9zzjnMQ1Lveb0NDQ1Fe4hFQWvcn//85yVnMNGWmHOzIZdoKPHNb35TUjgTbMyYMdpyyy0lhYZ3tLXlM54EBC0ZP3NtbW0taU/F+rD28RnbzI95YbFA3r33ve8tyQ/nOpyuMmnSpKI15BpYavPnz7f9h0/A8uJZYR6cLc7pJRCohMV22GEHQ22fAx+d25x85iRJBpK8Y6Epn0xBg3RS1g499FBJQbNxsvyzzz5rmhAfBV8J1JsxY4aktyeZpKekEaRckj7zY6zXXXedpOD7g7qgGufz/u1vfyvxxffaay9JYW3whWF4QRBCFllsayxRq9myVVP4duVSN0FN5s1nuCbsNWiHf04Y5vTTT7eURE755OACQjcgNEkW7D8IDbJPmTLFxkGIiH3Hyrvxxht73cOemiUyP6xFOAo/L3z09vb2EgsIK/KOO+6QFLgLeB8QmWeot+b4UvYeZn6+kg8lSZLk3S9vKzLncrmSFqennXaapJAAQSLCV77yFUmB1YtLBolvcg4RiQ0c2wK76hMk+iI9+cwITOXSpUstwO+T/Rk/TDTohaaOUR2k5W+wqawN9/MJKki8xlgIcA8ccVNufpI0bNiwghTWHcuC41XmzJljnAWpq7/85S8lBXSDdSfZBe7iyCOPtGviR5MbgL/9/e9/X1KwRmCFPXKSUtrR0WE+OuzzvffeKylYR7HPnNXQD1Tv6OgoSezhJ0coHXHEEZICD0IEJn5XvHWFXw/K+3Oan3zyybLjiZ/7rbbaSpLsfHIkxZmTJBlg8o6nc3IUy0033SQpZMLcddddXLPoZ2NjozG/X/3qVyXJOjGQIod/RVxzbVjtcj6z95Hj2CB/o5ie2CtsJdlqMKNecrmcaWU0v09h5He0P38vFzfvLcXVa/Xhw4cXpMCyw74S48zlcoYy22+/vaTgQ4LioM4ll1wiKaAOcdHPfOYzJVYTn2V94D04NI+iCU4JBQ3r6ursfuw3FgsHuT388MOZTfBZF3z3l19+2faQUzexEh977DFJgc3uqVE/18dqIuKAteKLNmLLIOtale5h5pgq+VCSJEne/fK2Z4Ah+A5o0YMOOkhSKL1Dg+GnoJW6urpMY06dOlVSOMsXzU8hAhlIb7d4f8vnUktB83JA2gc+8AFJofcUqIpEzQIMleACmJfP8OKaWZls8aFjCPelkMFLjFDxPdmvl156ydhsMvF8rgDMPT4yPh7WyU9+8hPzuykNxM/G6mBNH330UUkBJfk795o4caId9kc0g0IcssvKiUc5iibivcXCIx+cNQORsdCQ+LvE9zmPGTbbPzuUgGYV5tTX15dwIuwhvEGlkpA5SZJ+Iu+Yz+xbzOAr33jjjZJKW86A3HPnzrXMIrQzzDHMKFq2Gl85K6879kfuvvvughTil+UaD6Dx0eIgHHHDKGtHUsiWgmVevXq1rrzySknS5z73OUnBX6Rc8Prrr5cUIgFo6p4OqcPnxa8sN7+37lWQAlJwz7hVDmhPHjW+MnvEOChnRMhTzuVy1jkTRMaawhrx6ApzTjweq+TWW2+1UlTuf9VVV0kKyPnmm2/aHB9++OGCFOL7nnWO95BYONyFX1/2n3jzE088Iak7F4IOoZR6HnDAAZJCZIIoBpYJUm4PuQ+WB88SknzmJEkGmLxjPjOaH3+LGCqIDHLzE0223377GWsNqhHbJeOIOtZqpBILhIoo/524RpkxwbZSn4tvxHfwRanrBe0WL16ss88+W1JpbBWGGdTya5WFvlIp8+oPRUNgVanqwS8mdjt06FC7L21qqVvG6iDujHVCthsx47/+9a/GA5ARR3yZHAK4BsYN10DOMj7pk08+aXNhjCAy2WKxwEwjrG3MGMPX0Axg7733lhT8X5/n7tv6vPLKKzYWb4FixYD6IDF7y+c9+sbX8BZhpfKONyfwZg4PE5voz8iVQqrhUUcdJSkQRJjZmKyEUPzkq5lTT+mcmD3xec+EayDyopQ7SaW9lz/60Y9KKu68yNwxyVgTXg7CWpjZmKwxSSh1E06EdlgDCC5KAX2S/jrrrFOQQsIN3T35fFtbm5m87AMmMoUfpGbyHXqBQV49+eSTRo5BlpHwwYuIWY8CxdTFvObUzmHDhhkByvwJHVEiumzZssw95KVirWtqaixcilLyz6xPn2XPSbMdMWKE/R+KDwKR5ChIQVwRFLg/p/y6666z0Ctrw57goqRCiyRJBpi8YwSY13b8zk8Qm+6VIHNTU5NpUdq7+BRRkINChKwEjUqkHDKTWI92jecCAhI2gJzj75hRNGNgrCDOE088Ycn33AeEwJzFxLz//vslSbvvvnvR/NHggwcPtrGBbAhIER/dIoV0R3+0DAkYf/7znw0tKbWkEykCIYSpDtpABr7wwgslvbVxEUAd2kVhIeCukKpLGuTVV19trpovUohKIUv2kFTgiy++mL9LKk6BZTEK9m4AACAASURBVA0Yt99D0jpxCTDPn3vuObOAWCMaaFDyeeaZZ0qSzj//fEmhiMO3d2pubrb95B2I++FJ0uLFixMyJ0kykOQ/1p3Taz1+4mehjQYNGmQ+C1obH4eftK3xp0b0FLrJkkpKIGlGd80119i4GS/Ig38NiuDPQehQ0vfwww+bVYIvDNLgh4H6oBeWCr4V6JXP521dQUdv6fjyuREjRhSlO+IX0+bn6aeftjJFwomEryCIfPmkLyapqakp6UXN/FkfElNATn6nNJYQ1sEHH2ypwNyX9cFXf/3113vdw09+8pOSukNdrD+ICL/hyzYhXLkP32tvb7ewKGFMnlX2EtKWxCeIU0JVzCWfzxvPwrvAHvKZlStXJmROkmQgyTsWmvLifSh/SiK+9YoVK0zroTlBBD6DJgUNezsJsZxkncoXC+ElkKG2ttaQ0IeCSPyg1A/2GsSBzd1ss80M0SgThNFHM8MeMz/SJP0pEPX19SXrSMJ/uWZ3UkBGmvaBmKRTnnjiiearUejCfWFqaS+MJcSaxAUqrC/X4js0JSAVl3X0p0ZyysekSZNKSkHxcfFlYymXLilJv/rVryR1oyvj9GsHyhLewgJiDliMG264od2H5go+KkPTDRCa0BxrGXNIPgWUPayWC0rInCRJP5E+IXOlJ0uUk97a5a5Zs8b+L27MLsmaoaNZCfojxKPR8rW1tZnn8fZ0Ti+Bf3zVGHGyit5hK3fZZRdJIRaLrwa63HvvveZHMy8YXuLmsNygE8yoj2nOmDHDWHKuD9JhKfhCDFhvGHLiufARK1assDOjQDXKEll/fEtQFnY7TgxirLDloDrJFsTHuQYpmzTFJ7a777772rr4OLBHcyk8V6Ap1kN8CohvHcRnieu/5z3vkVTaYC+2ymhlhaVDDB7fGb+XecK7YJHw3EybNs2SVkhtJb5MclSl71lC5iRJ+om8a86aKif4HfjExP1oX0o6HyiIFs46EqeclGOzyU4CxeLrzJ07V1JgVElPxN/CzwI9fPO5+++/31DCZzJhCWRZL2hu/N329nZDhGgORb/77CGaE4BOnoeoqakxRCAjDVaV8eH/c4wPbDc+/8qVK23+ZIDh91NkAtqxxjNnzpQUmj6QQ3DaaaeVsL0+dyE+a4o9JK4NqjO/XC5nzwkWmGegfbwXoZHDxIkT7RmBpWbfWYtyZ3tLpdldc+fOLdlDn5OxatWqxGYnSTKQ5D/GZvdF0EwcModvBmKBkvfdd58k6dRTT5UUkG7+/PlVH1EjBS0LEw3KLFu2zLQ4Y4C9xhqgKRtjAL0OPPBASd3sJxYHxRo+X9cjAlqdXGjmBGJKpYX0WRYX3wFdufe+++4rqRuxYbHJwIPpJiee3zn8jeyn6DxhWzNQjhxlfGPGS1khZa9wDLDDkydPNlaX/WCty/mSjIH7YkGBxq+//rrtiWe8sQB43shn8LkEo0aNstZWNJpgT3xxDGMkMgLPg5VDPL3cd6rlpBIyJ0nST+Rd5zOPGTPG4sxod45twT+hrSxxWhCLUrVqNFo5nxkm2GvwXC5X4o9zyBflguRdgzigHFlF//znPy0PGn8ORhdmGl/aC58nW6u+vt58Ly+gTEdHR1mfGf8bpOT42GnTppkvSV45qAKbDcqRP03OMofRTZs2zUoaWR+QH7YXn5MsN4QcbZjx008/3ZDScwmg9/PPP1+yh3AU/sjbuEEgzxloCjvOc0asnlg8R+zcfffd1piQa3z4wx+WFCwzMr/gJuAIuBe5BK+99pqhtBfWPWWAJUkywORd5zMvW7bMtDbN3ojl4TvdeeedkgJS0Oq1J0Su5DhYWGZQxbfcLRQK5h+CXrCTaFwaK6C58YuJ/2600Ubmr3JgGNlR+Item5NNRpuhcr61jxvjo3uBEfa+M2taW1tr46IVDrW4sOjETH1zQHzs5cuXm1VFfjf3g4/A1wQNGRfIDa9w4YUX2r4wRyIIoH0s7Au1x/54366uLltvrAaYb/aIgwxAWbgZ5vn+97+/pPqPCjssNObLs0u7YnLR2cOY62B+PM++WUZvkpA5SZJ+Iv91nxnERNM99NBD5rPGx8JIASHIstp///0lZR90XomU85l7QnEauNEmCM0MqtKQDm2PhmYuq1atskwjfFJYWvw7upPQcgfGE/RivlOmTDF/G/+O7izEc7Oa4OM3UhFEFlRtba0x9KAN64FlQJ4zFgT7BSqefPLJhmI+dvvUU08VzQWEJh8Z5AaN8/m8xaIZM0fpgKBxHDarCX4sVJ/ROJH151hb1g7kpyUvlsicOXPMr4a3oa6ZvG4aV5LFx1r5ts1nnnmmbr75ZkndFWvxNckUrLSh3zvenbOSxA0pEAKzZs0yYgXhIaIX8wUXXCApPLh9kaivV2b5nDeza2tr7eHgAWYDepM4RZQey7gR7AFpfTQ2QEHwovEgxOOjhxeNDFhvzrrad999ix6E1tbWIoUFiQSJOHHiRDMrcSH4ne/w8EP28eLSu2zmzJmWkorLQookCUCYlDzImNe+zdT6669vrgCf4X5c49Zbb81UyOwhL09tba296DxzuEJIliKIU0JRzr7YhDRPEkEw93EbcFWQ2tpac808aUbq684775wIsCRJBpL8181sJCYCMG8gZcp1WKxWsr4bmzA1NTUFqajlTsl1ss75zeqc6RNA6uvrzU2gKaAvx4RMA2WzrJy4kATCyfcS9yZac3NzQQqhKEx75lUoFMxS8CcVUsaHGci9+BwhpLPPPtuIOKwqCCAK/jGRuQbWyvTp0yWFdWtubrZEHZKCsMx4ZuKGfpzkyZjKhX38mV48EySFEAJEyjWpxFqKGwXG12aveIY8ERdf2yeW+M+kvtlJkgwweceQOUvLrI28E9csR4D5ckIkRlmQrFJOoCcBYWglDGni/5/kDFBh1apVRnxlWQxeq7e1tRWk4MODCsx1yJAhRtqBVKAPvjJ+r/dHuWZXV5f5yIRZ8Kf5DFwD/jAWBvfkc8uXL7fiBfzSqNGdJGnFihUle9iTNcN1eJ6wDnoLX5b7f54J/g8/F0LMf440UNZjyZIlVmTiW/xGrZcSMidJMpDkXeMzV5LU0Rep5uzbcePGFaSQ4ojE5zAhoFJUplb0Hc/8eh8qvi6pi/wk7EFSAxKzqYj/rJ+v1+otLS1FZZ4k/sc+KmOkCYEvPOE7oCdzu+iiiyR1h9II+zAOWHMYadJJaYQASpKqy1nJY8eOtVAUyR4gGWscp6xOnDixIJW2QCYlk0Sj+J7sZdZ5zLDeMPNxgwrSOLFAsGooCoqLYaRSvzyXy5VwNJ7/SMicJMkAk6qQOUmSJO9eScicJEk/kfQyJ0nST6SqqinIE3JYL7nkku6L1IXLQAQRGoAsgIggmE+eK2EN+ivV1NSUBPX5yX0ga0iZI+GAM5EIi5x77rnab7/9JAVijZxqcqzjEx8g+KjkodtnOWEe/lQNhCQSiKm16WTqT5pEpk+fbuRQlnjyhLOmPBET75M/0hTx/ax8qIh000GDBtmeZZ3QybWpzebcKp/0MnLkSCPg/Hejjhy95mZDcsXdX714Ejb+Tvz3cp9F+A6ppoT1SBn1CSl/+9vfrL4dgXgkJOdPJcmSqnzmE088sSBJd911l6TARPKSffazn7WsJhhPrs8LSpyNFjQwinEuLgX3/qxjf6QN2UsUovuHvq2tzRYzPjolHnPMhNbX1xeYhxTOG65EGCPKaW24CDaeJgW+JRAyYsSIIoa9nPiXmTlmtZutr68vOTvY7yGSFZ+Nc9gRH4/1itkrRdazUCiU7J2/dk/59V7q6upK5u4F1t7nwvckXsExRpS6V0hInAEW/y3+bDrSNUmSASZVITPlc8TOqJqhqkYqbROK9o5zf6VSpKQs7fe//73F3agwoXqHGCQak/uSkeTn0tjYaOYezQKIX3L/GJm9Vi9nSpWLOceSlSONNDU1WaUN2U9c3x/L2pvU1dVZc3mO8PHX9MhM7rLX/rEJ612juG2SVIqM7G38PZ8hx3epNgIdQWSfDx4jNdfyx9TwnbitTm97GCMhY/HrnvX32GXASmQevAu4i/7om2qEPSUjMMWZkyQZYFIVMp9xxhkFKVTP0BKFAvfa2lpz3n2WEH4f2g2tB4kVH4lCJgxF4RzzCepAKuHncQ9IFMa1cOFC08hodcZB5s5vf/vbiv0tKZB/NAWIviupFOkgmtDgS5cuLUFv6lnhAGgkiN/oc3WZw3bbbacHH3ywx/Fm5Waz/r5mO74vY+6NGMq4L/eTVFqvzP34nT3E6sNyGDJkiH3XWwxcOz5sncq3np7rj3/845JCzbcXvybeV6+vrzfroFxWXrlrlSPRssTnq8dN/nuShMxJkvQTqQqZ3/e+9xV9mHzUWHPhb4A6+Kp/+ctfij6L1sFH4uDxc889Vz/84Q8lBRqfJvegIWwj1yAPFvTF31qwYIFpcbqUnHPOOZIC2nV1dZWw2f7YklhTcw80sUcrxkJdM5obxIlbvTJ+rBkauJ111lmSgh8Gd1AOKWnyzmd8+CorNOVRPxbPzGb5zORbM2fyoRsbG+1QcdoBEe7jGt6iwFqJG+/F95JKq7j4v3gPGxoaCvF1/POdy+VK5kE0hK4g/wnhGV66dGlJFZcP61XKZvfpZcYk9guez+ft1DuKz3lQ/RnKJM1zagAP+4EHHqhf/OIXksLDfMIJJ0iS9tprL0nhVELOmqI3GIXwmP0f+tCHrI8VZiULRpnhjBkzbKE222yzghTK8zxJNHjwYBsLyodYIA+aN7PLiX/hUAS+jJHzh2kfRLdI5GMf+1hJ32l/Df8yDx48uCCFl7gcyYebgjLz5YS+iMQTevvss4/1QkMxsnecdU1vMPaKmD4EJc/U+PHjraVRFvEW9wBramoqSNnx/3hezDMrZoyS4j4o6L6EHf094twMHypjvVFIKTSVJMkAk6qQ+eKLLy5I0vHHH1/0d5Bl3Lhxpj19ATvaFeQmeYQ2MphOs2bNMgLIn5NL32w0JCcMos3jM6Gk7sZvaDlf9M74YnKBljo+44zfR4wYYfcmGYBQBGScT47w61soFGx+kH++yB8r4sgjj5QUumFisvvQjFQaTuH3RYsWFWn13pArzvry5uh2220nKYRM/P/z3fHjx1ujQcKINGnk/GVCfOwLSUS4MYQjH3nkkZLmfDx/lFzGGVJDhgwpvDXvsvNraGgoST5CCAnRDZX2ThCTjGP8+PEljfk80ZpVTolliHW2Zs2aEsuHfWZd04kWSZIMMKkKmUk48H4hpNLZZ59tWgU05YxftCmai7/TvA9t39bWZi1V6KmMluaMXzQZmpL+0whar7W11VCa8YAEJH3E/hbzQyMyVjiCcePGGfrgL0LS8ZPrI74AvqOjw8ZP0Ts+HNqedaVdLQX1WAqQee9///uNvPEkVVbSSFb4LQ5H+ZTLrBAUc2Jt8THPO+88a6FLbjzNCBg7n2XuIPM666xTdI+lS5eWoKwPnfWUNILQDPA73/lOyRqxhliPNCbkRA8sEpoNdnZ2mmVGf2x4DeZF0wjQ1nNGPOO0DX5r7EXjQlLSSJIkA0z6lM7pEw5Aq87OTtPmaE+QGrSkiABfGU0MUn/qU5+ys3ppNI/PSIf/M888U1II+qP10KSnnHKKpG6Ny9gYKz7z0UcfLUk677zzetXqPbU0Yr74gocffrik4EN7dC3X+pWqL85QIqxH6If7gkSeDe9JskJTPokh9uWyKoH4O/4vJ10yTqIPS5Ys0S233CIpNPqnGeFll11W9HesERAcFOYZmzlzZkkrWjiMKMxpc8zn82ULSWKWn/0kAYg2UZyhdfDBB6snmTZtmiEr+7nDDjtICqE4nl3mAf/DfP2el5Ny8+tJEjInSdJPpCpkhu2FCQV1SY979NFHLe5JjSb+JtqQVEwQEp+WuG9jY6PFKPGjia+CesSVOfvYp9uBAh0dHdbIDa1Oiijfif2trFTAWKv7OC7+Iiz3nnvuKSlYC8ShY/E1vvhVPuWVGD3aPhpn0XylcCwK7DpSqc8MB9DV1WXWEoiFb884fHol/iP+76hRoyyBxMdmOZ2SODNnavtSVa65ZMkSiwfDPvOzXFIFloe3XshJuOaaa+w5wk/neQI9s4Qa+KFDh9pBAHGKpxRyA4is4H/7+HKcAMT/+TOmkOQzJ0kywKQqZCaGh+YGBUDZhoYG09qgNUeJ+LasoCoZWiDLlClTDO1AJmLTnI6IP0bKIGzkd77zHUlB29fV1Rkio835nUKLP/zhD736zMRs47jkj370I0khO421IJOpkrOioziipNJjapBKChuyxGv1rbfeuiCFWCrXZH86OjpK4t6w+qSOEu/3mWD8/+WXX27/BlVBPxAYHgTWFysA9OfaQ4YMMb/TF2dEsdrMiAQSd5+h3Naz8V54N+hgw/PW0NBg0RCiMcSiYae5JtYKPA9HLsXygQ98QFJoIYxUm86ZkDlJkn4iVSHzpptuWpCCH4iWhdl78cUXDV1++ctfSgpZNSAiOc3E5SiigA1ed911jaUmAwckQIuj7YhdEh+E5QRJttxySz300ENFf8MXI7vqjDPO6BObTaOE7bffXpL0k5/8RFIpIpT7LpzAtttuKymwwZ41hp0HxbyUaznD/diTl156qUirb7LJJgUpWBK+r1c8TopgYOQplmGdQV0ENDrllFPMdyR6wXG1WAB+z7Ja+eTz+ZJWTHHDfqk4yy1rD/lOU1OTldTSw873CUO4n89B5zpSOEMbqxArjmtSL0CMuhzLnsW8884sX748IXOSJANJqkJmjm8B5ShrI+tl0aJFpp1h5GhKRxYNTDjaES1E2d+QIUMMNSmxBME4JhStiF/GSffEMA866CBJ0mmnnWYVUGQenXzyyZKC1lu6dKlpvfb29oIU/KtyJYD82x+2nRX7pZKIterq6tI111wjKbRKghtg7S699FJJ0je+8Y2i+/fkM2d1C81qG0Qkgph2OYacv4HAoCjjhLHFQgN9ttpqK0Ne8ufZZzgU1itr3cp1JIWr8X517FNSxur94HJNGHwmo99vKrxg5o844ghJ0o477mh/O+mkkyRJxx57rKTwLpCbzViJ6sAlxffq7WimxGYnSTLApCpk3nXXXQuSdP/990sK7DJZLA0NDabZ0YCzZs2SFHKWqUXGDwGd8KXvuOMOyySC5fvWt74lKdQZc1/Qlewh4nRf/OIXJXXXVDM/2HLYRlj0jTfe2LTemDFjCvFnyomv9Z0wYYIklVTRoG0ZM/nlixYtMn82S/BNPd8AWpVrUYO1Evt1UvZh6/5zcezbs+3cn7+zt6wF1hfoe9RRRxnfARMNx8B+Y02Vax5Q7l5SKacQHdpXwmb768VMON8n1g1qIkRkyCSk9TPPzMKFC82yYR5YftTp0woKhP70pz8tSXrggQckBUu0J3lHmxPQBB/TzCeLNzc3W0I7C0ASBcQTjQcwO303w+eff976VnOSIA8Jk8OU4SVnPLzUf/rTnyR1m57777+/pPBgsoG8fD0l6WO6xiQRaacktHjxJtOOO+4oKZzb29LSUtKRku9QEsmakKRA5xW/V7///e9NsXEN1hmS0r/MJMaUCe/w/+ZGsa4+NOaTWzC3WdvGxkYzuSEp+SxNKLJMWxQH4bpyJB8kK3+PX+beeoDV19dbaJOQpg9R8ewed9xxksLzRshTCs8YCpdQlSezSBklFIurQPP/wYMHlyhWJIWmkiQZoFIVMqP1CKWg1Um8f+SRR/Td735Xkqw4HXMDbQ8iUN4I+lFCGJ+mwPXR1ph1aE40KWEuWtAQyD/vvPNMq6LpSfyIGg+UIDMkGWRNOcnqyog2JfEeS4TjeBYvXmzkGaYoYbzTTjtNUjhCByKQMjt/j/r6epsH2t2XL/rCdvawJ/HH0vgulZ4sY25xV1SeEUhK2kh5Ug30xxz3/bBipCvX4/ut8ZXsYU+kUkR+SgpFNxCPWI24flh3hJna2trMeuR4IBDaNxbwhRiEWeN54XpgiSKp0CJJkgEqVSEzPZf9gW4QVrNnz7bwEKgDipLoTsgCpPSFAeUEJEObkyyA34rPhn9OueHpp59uITIQGaRgHMuWLes14QC/56qrrso8CA3LA2KPkAS+FATVSy+9ZFp78803lxTWkTHSUoc1Y36kjsbN+KKmdpIC0QiJ4/2tLOSKW9cQKsO/5dr+O1hVjAckGTlypO0R++/Xyx8wSEIQ/dbjVkFYBvi2rAfPUGdnZ8keZp1LJYWTUHiesBKPOuooSWFfILPYSw6Du+eee6xgh6YbhKqYH99hzIS16ABaSRlruYaFPUlC5iRJ+olUdaQrCIn2pACbQvOPfexjppHwmUEm/GqQOOs8o/hvaCb8qalTp0oKie8gAoiGtocVnjRpUkkPbBL68eF6ErT7VVddVTQuP14p+On4X5T+gdT4Uuuuu67NnQYNvhkf4S7KQvHlyjWJ8+OAe4jP/4olqxc2aJfP523sWejBd32CCvPYbLPNzA8kZANygcSeveae/h6FQsGsGvxP+AHCXbFwPZ6FyZMnSwpr+8ILL5h15u+F+BY/CMUUUvCjsV6IHoD23IPnzx/tiyWyevXqkmNekWqaUEgJmZMk6TdSFTKDbjB4Dz/8sCRp7Nixkrq1LsiLhiQFE18Bdhkt5093iNvWoF1JuMAfnzJliiTpjDPOkBQsBa4Ju9rQ0GBj9r4hcVBijbF47V5J2yDO32Ks3s9DFi5caGWSaG2aKeAD4ovutNNOkkKBu0/iuOeee8yPgz0GIYj5+jGDCPwdZMG6iX1M5g0f4E/vAJlZU1JXd9llF9t3f4Ij1gXfAWW5rz9ls7a2tqTVEp8lISkWWGIKH8h7wELKKnesRkaMGGHrBksNK0/cn1M54Y4YM6Wg/OQZiIU1w4qsVBIyJ0nST6QqNpujTXy8L86Qwl895JBDJAVGEB8OFKc0Ec0cN3ZH85P6BurRahfEQAvTVJ6UOQrBDz300MwUyKgJYQkTCsIwtjgmiGb3TQ9AFDS0Z72xYnbYYQfzT/3ZWP673q8luwv/cunSpYY4XrKyh7LYbNYjn8+X7K9Hfawr0JPvgvo1NTVWHEPMnt/xpYkm0BTQ8x7lzi+DoffHBsVzHDRoUNH8ejpLqy/HzCAegbFWf/rTn0oKlgDZezTsZ6/JKTj//PN7vVcqtEiSZIBJVT4zWg5mFsRCK3V2dlrJG61EKcqgeRrJ66AtvgPXXLRokbGXJLaTGYOfgr9FfjV5rv70xB133NFOG/Stf+ODu7yAAPi/MJGdnZ0lfgwoy08y3mDe8Z3jXFxOxsTyqPTsXhAZKyM+STEr/t2b8D389I6ODrOuYKBhaEFifmKNsC80MVi5cqX5zDQnoCyVKIJvI8xzQSFObBXx796O/pGyz0nmfs8++6z5qX1F5lwuZxEc2gBhNcJyc21i9rNnz5YUilJA6meeecaOavK8TtZcsiQhc5Ik/UT61GoXbUO1FIzegw8+aMgH8oI6aGRQDpYPP4sjbp555hmLvxJ/oyk5sUKQAuTGx4aZxve8++67zWrw/ic+zYIFC0p85p4arHmtCfKSFw5a4RMSb4QrePLJJ63aDJ4AK4ZjdsgB9uIzx9rb2+0aXrLyeineL8d3MB/WE78Q1pjvYCHwHGChgdDnnHOO7Q0oTv4B/AaWCiWiZK7hU8aVRH6MSDTmkj0EiYlm8Nms9apGvv71rxs/Q14B+fM0nsDiJBebv/NeIIMGDco8ZI53KeZ1epKEzEmS9BPpU9UUrCoaHJaztrbWkJCa0RNPPFFSiDejwUA4Yojt7e2SuhEbbY7vC9LGR7VKIYMKrc/B7SDfa6+9ZghFhhbN8Y455hhJ0g9+8APTepUcRI4fSZYQh4jzHTgCn50EIxuz9T77ijXA8uBz1G2j7cu1MeLQAZCPo1Z+9KMfla2aymrK3tjYaFaLt8D4DLwAbZ1AZNBqwoQJZkWRgcX6s7c+lupzzGNLwbdqgvmOjvDNrGf281sb4VlauHChPXM0vcCKZN7kPBDVoYHHpz71KZuX1J2zz3NNvoFvjpHqmZMkGWDSp04jaDu0EUxxPp83PwuWD3Qhv5nuDdyXOlA6Upx77rmGfrDJ+KdUSaEV77jjDkkh3xuEiI9RBdXxP7Ac+G6s9bKqpmKh+wc1x6AD2WhYB7Qwor6bDiV//vOfLeea9rxkrMENwC/AcuL3gS74kFOnTrV1feqppySFRonXXnutpOyD47KaBNbU1Fg0wcfQaStL9hxdM+jwQk75AQccYLXAsL4w794awarzGWI8N7W1tYbWvgl+1IK3qj2sVhgz8503b15m9ID9oBYdPoR4OpxRT+Jr5SuNM1f1Mjc0NBR9OJ6c1N2nmiQRiC1ePEwUNo0+ypArvMx33XWXtdqhFxZkCSEjijh8wYVvb7PBBhvYA4aCIPUTkulnP/tZ5oOQlbwhBUUD0dWbxN0hy52QIQWyDNMN0wzzi7HH4+PsJhQAc8et+fCHP9xj0ohfs4aGBvsb+0uxvm8sAInJi4prcffdd5e0JWIOvLxRT2hJ2W2EampqSsoZ/flO5RpMoCw8uVSuL7gvGImuJSmkhFJOe9ttt5kCw0RmTwE4lCsnp2S9Z3FbJOaDMsVk7+rqSmZ2kiQDSapCZs6+xTSmqVk5oggtgylEOiNmLiYE2hHC7BOf+ISFPggRYdZBBJFEgvkF8UKLHsYxePBgM7NJs6NIPGriVqLVfaFFLOX6L8fz9aEPvza1tbV2jbhpXfxZn65aSfph1me8icYeMv5y5zN7pGAd4vOo4vFBVNKIoKamRjvvvLMk2amgvgmfR2T2msYS8XoxVu4PaVouZZXunIQCsZziUzB8r3Ou44s8SOvFiiS8NHv2bLMWcRvZUywlzhgHZZkfiUIU28ybN8+eA9JkcReRlM6ZJMkAk6qQmSR2/F60LX7J8OHDjVYHcUFgc9P+cAAAAbNJREFUNBRaL6vFqhR8R1LgCJXgB+GHx2gihZAU1+zq6jLCIevcoHLInIW+sc9c7sSFtZXHHntMkuxMaS+sC2srhfBQVggm60QLv++sy5IlS+z/IDP/8Ic/SApz9hZDOUvGrw/j836vF/+5QqFQci3v58fITGjKtwtGRowYUfIM+uYHWVZOnMbsC0IIwZEkAtqyhliXsdVYbnzlJCFzkiQDTPqEzPgWsNgxU432JD2PsApowu9oTrQ8zO2dd96piy++WFLQYrCnaE5S9bg/mpREf1IJ11tvPUvxJCEDlOE7MTKvs846BSkwrgj+D35//P3eENqfVBmvN+EqEj3Q0j5Mg5RDX/+3nsI2b423aMM9i5zP50vKPLkWZ1J/+ctfLhoXaxAXa3jk9ePy/jjj8E38GxoaSphpn9QTI3NTU1NR4k9P53NlWWCI50FIALn99tuLSnbXVii6IMGqN94jSxIyJ0nST6QqZE6SJMm7VxIyJ0nSTyS9zEmS9BNJL3OSJP1E0sucJEk/kfQyJ0nSTyS9zEmS9BNJL3OSJP1E0sucJEk/kfQyJ0nSTyS9zEmS9BP5/wCpezzhbHzSpgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96f775400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1000, D: 1.364, G:0.9038\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96f775a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250, D: 1.249, G:1.253\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb9f2c92d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1500, D: 1.198, G:1.016\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb9f2f77710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750, D: 1.235, G:0.8581\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96fafc1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2000, D: 1.377, G:0.9941\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb97b266630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2250, D: 1.381, G:0.8057\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96fa45940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2500, D: 1.356, G:0.8107\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb97af65668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2750, D: 1.197, G:0.8563\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb9f2e495f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3000, D: 1.315, G:0.8235\n"
     ]
    },
    {
     "data": {
      "image/png": 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bH/daeWb28CgTFCQagQkJ9If11YEBcCbgJGHFhrkpBkgpnHvuuccUAGDFJwzwne98J+PY7m+5hQV32mknY59GIehcQM6JnYcdR/hBsk4QVn6cIyQKuLsXlwmHDx9uUh/ZFSDwQKxCGAdZJeEN0uiQEh5wwAFZoUCYIs2yQW7Kq2sjU16HxJDx48cbJ2YU2LFw7+BrKQRpO8CiAFPOnTvXMC1VZW+88cac33X7hiWpbOpFIx4eFYZEzDxmzJhmSaZkCqs/3u0uXboYeSMlSH//+99LsmVSAXYBNic25cCBA43nF9sQr6Lr1UYiSqgENqBjRHDH8L3vfU+SLXkTsOWyVnXEAQ8//LAku5quvfbaJjz297//XZItrUPJ3XylZ2pqagyrMz88++wIkIpyzih8QLiLczxp0iTzGjJSQiL8RhrFCQi/0V0TDz52YxJQTojzBLMVg7DdVZq9nhAjccxu3boZCXEw/Vey3np2W4QV6bJCElAcSW9UW94oeGb28CgTJPJmI/kDMDKe02effVY/+9nPJNkUsN/+9reSrP1HEjdpfXhI8dQ+/PDDxkYjVkeiP+IRvoPdgQ3qelfxekvRBf2CgHHwkmPTwszTpk0zJXNItgfYUwg9YB63CHy/fv3MSs+5YMeBp595EYPFLmalxm4nzirZHQdwvatJ4Nr5pAYCdgbYyti/vL7OOuvohBNOkGSvFbspGhww57QRtdMMlhGK21geHcMvfvELSfY+69y5s/kd7ltAkg8RC3aNxOijNBphSNr43jOzh0eZIJX2NG46m2RZhpjpeeedJ8kyGMDW/PWvf21eg5nw7vJ/yudga5LyCJOw4hLvDMoMse+x8yiwF7S3oor8B4+PPT19+nRJtrQuqzhFz12wIj/zzDNmh0G7GViD3QPxU8YMM19yySUZn1uxYkVWeSB2Dk8++WTW/L6ZS8HtW/IBNoKFJBujxmbkPHB/pGHbxvFmh92jLqLOgSu/zXWOUP7hM0LFhXw50Dc7428YoooyRn4+zoc8PDzaP1JhZuzjd99916wm2E+UTcH+hdnQFFOUABXUpptuamwU4ruwKd5r1GRot7FL8ejiYVyyZElWyVXXyxwsqwMzs4pjs2Dfvfvuu4btYZwhQ4ZkjB+7CpsRDzCYPXu2UT/hCceuvPLKKyXZJATe5xjMG610c3NzVpKGayt//fXXbdo4DpCIwK6JXUYaSCvOzI6JlF7sYVrO5LJ33fuMuDN+DUo+4TtJklji48weHhWGopgZPTJezfr6esMm2CbYRpRc4XVazNCjGLz00kuG7WBImAntMt5TMpLQcFOoje916tTJeKZJTXTnG7aqu+1oOcaECRNMwzNiwswH+5b0REqtsmKDjh07ZoxPsqo4SiaRTcUuAB074+D7UrbN5dp9cW3mUgHbkfgqfoKwIgiSjXokSauMw8yo5ohYSNmRBu5nfDJTp06VZP0+REuC4N4//PDDJdn7gfsdhibuXIhPwjOzh0eFoShmhrlgso8++sgwESVuyOpBV0y7UrS4eDmxSy+66KKsFi/Y1cTsaIGDt5u4LX8ZT8eOHU1WDt7dwFwkZdrMnTt3bpZsTBQvcjAmSvkZGMe1UZm/m50VBO9xXJgYO5LYPAX00DxTJABlW+fOnY03m6ykNNrThLFYUqBZxx9A5hfnHSUYudpRTdmrq6vzeryT2Mxdu3Y19y32LGo+IhQ0/SP3nlwB7ruePXvqD3/4gySrEuQ7KPBo1A6ruz4brlPXrl2zchvy7a6i4JnZw6NMkIo3O7iSkKOLt44mZ3imaSRG1QyacmHvjh8/PjQLK9fvok+mUgfHHjNmjLGnYXEqPvDZESNGZHmzoxrj1dTUmNI9rLxUHtl7770lWa+tO0aO9fjjjxuVGO1Q4oIdR7BNLXp0Vn7YlPE89NBDBdvMcWKz+eAW++Mv4w425ZNyl+uNulfjMDPjqKqqMrsZYsAUKmSXiO2Mr4J7iN+vqanJ2i2wo8APgu3PsWDssDmh82YnCDhHDQ0N6ZcNijpRODeCpVE4eaQtEkZiW8V2m4csl8MDpxrphVEd/nAyuBK7MISdKObHNpOTSziFbVcQbLsRejBGwkc46cJK6gC221F1ongfRxkPWU1NjRHUuGWDSNbYfffdi3aART3UmC4IJYLgHOLUQ25KyBIJMA5SfiOqn1kuxHmYcVARIv3ms5KsmQOxYK5R+oowI07bpqamrJAgjlEKGbiLGPNiYXBDlnHnlwt+m+3hUSYoiJndRAYqRA4ePDiLRRMPqKqqYEkhzAZb1tfXG0cMPaBchK3qsMlPf/pTSVaKuu2225pQBFuwfHC3iLW1tZElbdwdh7uKs/2HxVauXGmcY3SZgAkCcsE2DU0xb7a2zD1O/+QEv5F1DTHbMPNymQxxzQk6jCxevDh2WaJi5hkw9zwze3hUEgpiZpIl3G4RQ4cONbJGdyUiROOWYA0KToLvhyHfKhf2Pg4I195kFQ5b1bFRGTO289FHH20KEMI0jBenHYn8sDvvI/ior6/PmqPbh4t5uF1BXDutT58+xuHFfNxuim0tGnH7OQXGIal0zBwV6po8ebKRVrpIc7eQD7l8KC68zezhUWFIxZsdRFTxcrdzY8ixJWWuUrxGuIsEjCjATrBxmF3j2vRhqzo7D8YaXKnZUfAe40W+6Rbi53wEbVlCEQj3YWYEFoybseILwDdBssrixYvNOeIYgUJ+kqSVK1e2i0QLt8RUGgizKQuZXz5GjlvMIA4oo4WoKhe4d1atWuWZ2cOjkpCImT08PNovPDN7eJQJ/MPs4VEmSFSds7WcJ2SgoJXNhyQyThet1Q0hiKT1tpC80gQ+Cdo6NNUaaItr2JooSUvXtj5RaRSdc1FpN0Jbz9Ffw+TwcWYPjwpDom12a6MUq7hH28Jfy9LBM7OHR5mgXT/Mzc3NGSu5+3+Pby+qqqoim+u1d7iNB3Lhxz/+cVbTxFKhXT/MHh4e8ZG6NzufjpV2NMU0104TaXtCWzPzJg7awpu97rrrmrJKLsg1jyoCX0iporSvYb62vEGsv/76kmxzPSqpUHwSkBFHBt7EiRMl2aKNecbTeqGpa6+9VpItCdTWCNZedtMJ49TNbq+gWAG1wBYsWGC6fUT1+22r0BT3BN0hSLxhDmmiPV1DEm5I6aWcFPOn8ipdUON0w/ShKQ+PCkPJRSPPPPOMJFvZn4JqxTiy6NVE94hiUOyq3qtXL0k27ZLuksWALRlpjcWcq7ZiZnfMbtmglH+r3TAz12zZsmWSbBqri5EjR0pq6bSSrwSVZ2YPjwpDyUQjOICw6SgGQB9mCg1QkhWHx+eff27Y+/7775dkOw4sXLhQknUykeSPhpvuAa2BM888U5Lt3EgpYVCI4IX5wvIUFKRoHx0Y2jvc/lqS7b208cYbJz5eVAmgYpFGXXAXHOvuu++WFF2E4KmnnpLUUrSDEr6U9C0Unpk9PMoEJWNmeky5PZAIWZ1++umSLDNTTqaurs54QCmyToFxitTRf5n+Ra3JyMDN6MIGeuihhyRZG3GzzTaTlN3RIAx0qoDZ6JD5bWFkt3tHEOyiCkEp7GwpXUbm+o8fP16SLegIuHfpAc09PXbs2MgCg0nhmdnDo0xQMm82TItdQkG/QYMGSbJ2cBhc4QkF9mbNmiXJdoXEHqHM7dtvvx13eAaFekIRRRDfhVUZMznWcXKQYTQYCH/DTjvtJMl6yJP0LAat6c2miGAYC5dSutna3uy+ffuaHs6A3RTxZXLQYX+KNXJ/oIUYOXKkuW+5V9ydiPdme3hUGFK1maurq423GjuP1ZodQFTP36DHktWL1W7UqFEZfwGsT/nbUqOqqkonn3yyJOnmm2+WZJuLAcbsrtxhYAfiNn3jGJQYnjx5sqTCmLk1QWw1yMyFtilqj+D6LF261GgB9thjD0kt3T0lq6sYMmSIJGsrc69ScphSzfR3TgOemT08ygSpMvOaNWtM/Dgq7hplO4V5LGEovNYwNp7Dv/3tb5Ks/VFqNDc3G21tPg9rnEQLVmvm5faFZp7E19NcxUuBoUOHSmphI3YdYLvttpMkvfDCC60+rrTA/djQ0GC0ADAw0YtXXnkl4ztcy3HjxkmSpk6dWrrxlezIHh4erYpUmJm0toULF5oVGJsRbeq2224ryaqb4gDmxQ4/5ZRTJNnmbC7Lp9lGJOq4pLy5zAPwrMcB6XB49r/73e9Kkq666ipJ0jnnnCPp21NqJ2jz07ica/dtZmS35VKnTp2MzoAYMXqCF198UZLVWXCNS8nIwDOzh0eZINU485tvvqlXX31Vkq19jacZGxK7A/vQtS2rqqr0yCOPSLKeQlerPGLECElW973nnnvGnoOLJDHK999/X/vtt58k6eWXX86YhwtWapq9BYFOmab1xBdp6v6d73xHkrWV2e0UovduzTgzeoARI0YY+97NJy8FShVndhn5sssuk9Ri/95zzz2SpPPPP1+SzZZCX4A/5KyzzpJkFV9JEGh7W/riBG5nvx49emjKlCmSrIyTJOxnn31WkhVCsE1ly4wwokOHDhowYIAk6bXXXpNkA/Gbb765JOmxxx6TJPXv3z/jbxIsXbpUktS3b9/YN8LAgQPNA0dSxMyZM0M/y8UdPHiwJOu86t27t4YNGybJzs+tbMH/KepfyPxAaz7MzHXRokXmNa7zlltuKckuUGlKNNN+mFmUMBUJCbKQz58/X/vuu68ke18jDkmz22XgfHrRiIdHJaFkck63tzAgNeyuu+6SJM2ePVuSdQL17ds3K6H7tNNOkyRdffXVkmwgnhU0iVQwhBULWtXXXXddScqqdQXjRG2/w8A2LqrqY5L5sSPAEVdKZmZc/BaS3bAUSOSMmF1pyjvTYmauGeOHkTHjYOGlS5fq9ttvlyRdcsklkuw1LKaVUBS8nNPDo8JQMmbGVjrwwAMlWUZ2HWEwCUXqNtlkE82ZM0eStVlY7Vy4YgsXI0eO1BNPPJFznIWu6jg4Lr30Ukm26qhr/5LGOWnSJEktxQw22GADSdaOjqqrnG9+cVBKZiZMl0tmeuihh0qSTj31VEnZzjyYGuYuBKVygHGP4rDEhl2+fLlxyrp+DnYp7C65v4uRtXpm9vCoMCRi5urq6mYpWZgBm3j06NGSLKMhyofBWcGC9harHjWJSdLYdNNNM94vBsWu6njjGSNYsGCBJJssgezv448/NgnshK+ikPb8vjlm6t7sgw46SJL0hz/8IfIz+BKSdIOIi2KvIfccbAuL8jphSIRPQU/8YYcdJknGhuZ+hpnTSDTxzOzhUWFIxWZOImZgtWMF4zusdqtWrTJiELzWANsMO4wVs5iYXmsntvfs2TMrDZTkDdIrKRcUt9l8LrQGM++www6SrPxWyrb3kTViZxdjI7tIcg2//vprszskDRE7d8cdd5Rk9Qyc/7AuJfg5brrpJkl2Z+myeBrwzOzhUWFIJdEC1UtUi5QgWN1cGScrG6tmEDA/0jkko2mobFobQVamLxGqOOyr++67T1J0Mkd7Ay1ZgmDsaARgwTSL6CUB99CgQYOMso5dIfFxyvdg77qMTOGBTz/9VHvvvbek7Gu01157lWoKeeGZ2cOjTFDy9jRpgFWVJluoylzbB1VWvnYfQbRlaxO3NC1MwLzS0C+3pjYb23PNmjWG3VDpoYVfb731JGXPrZBrB5Jew7j3PLsImJvC9bvssovee+89STKagblz50oqDTN7m9nDo8JQsiL4aYCSum+++aYkWySQlZWVk/jg1ltvLUn6y1/+Yo5RSNpga8H1G7iefeD6EdrK7owCHmuuwzXXXKMJEyZIklHzocSL2m0UwshJQHz72GOPjf0dzjttaHfbbTdJLe2C8HfgE3ALO7YFPDN7eJQJUreZ02BCFEX33nuvJOvFvvDCCyXZ+DOrIe1isZ0LTd5vLZsZRma8bqlgvK0o3cLavcRFa9rMqKGmTZuWVT4Y27kUSHoN8U0QC3f19IDcdfT3MPVee+2lBx98UFLpWucE4W1mD48Kw7fCm80YYTRK8ZCBg2InrGgcdrfbyCtw7DbzZmPHYQPDFJRlReuc6xrlK2LYVs3WQb5c7TSQ9Bpee+21kmwVHDcrjXNKhZc4Tf+SIk5WAtBKAAAgAElEQVTeM7uZlStXlr5sUCFAqol4IiyRnZNLCIptNzXBqCeNE4LP02WgvW+zERw88MADkmxhBpLgSUJx00Xj1OJ20dYPc2sgzjXMteixvSZpptTOuKTw22wPjwpDyZm5mORzAvIwlesIcp1tJJHTkTEO2oKZCaExXre0UhTYft95552xf8szc/vHiSeeKMl2bnHhmdnDo8JQEDO3lhCDDg+IRgYOHCgp2iFRbF3p1l7VkQkSospnG8ex+9y5e2bOxFprrfWt60zpmdnDo8LwrQhN3XHHHZKkww8/PPVjtwd7iyR4uoCkCc/M7QtIkv/xj3/E/o5nZg+PCkMiZvbw8Gi/8Mzs4VEm8A+zh0eZIFE+c3t1LrghniRI4jypqalJvZF7WkgamsoV5uI9KrtQ282t7OLmWRNaa2hoyMpAcsfljtcNQ4K11lrLhOr4DP29qD23cOHCVB1g7tjCzlXSMKjbaysMiIc479zXDQ0N7VOb3d7Qnjyh9GWmxE4acB/mmpqaZskmPnBTonunaUHwPR4m9wGNer93796mKYDbn5miBRSN57vcyGEJCNzUPLwcm4essbEx7zW85ZZbJMk0IAjC7cNcDPIpHnMtDIHEiozveG+2h0eFwTNzO2JmQGZZnNLF+RC1zeY3YCMKPvTo0cOwipuaSXYaDMLrfBfm/PLLL03SPqwDQ1MUb/jw4RnjjGL9Hj16ZKWvHn300ZKkqVOnSpLWrFkT+xrW1dWZ8kbu+eV1lxmTgHMWVjI6DFVVVVlbdVrHco48M3t4VBg8M7dDZoYhYMhC8piBu6p36NChOXhM2LVnz56SWtrIcE+cc845kiwj/+Y3v5FkG95R1ujpp5+WZBuPH3TQQRo6dKgkWwKJtjToorEdYaFhw4YxPkk2371Tp07mPDCOLbfcUpL0yiuvZM0x6hoGde/8GzXWBx98kHEu8mHYsGF67bXXMl6Lcoixq6BIBruJo446KtZvfXNMz8weHpUEz8wpM3MhTfQoAE8zsuuvv15StmeUkBDtYGDEXHBX9bq6umbJFqJjDEGPMaEfQEgI5qLR3QUXXCBJ+vWvfy3JZrXBwkEwdjzH/C42+0UXXSTJMliwdC2foYC+29w9yTUMs1FhfIr07b///pLseSevnijDihUrNH/+fEm2aR5wq8Nwnjm/vE/j9rfffjvvvRKXmcvyYQ52R0hSI6utOlrQa4ouijzE11xzjSTp5z//uSTrsEniIHNvBHpsAx4ubrrglp6tLr293G0uYaQzzzxTknTuuedKajnXzI0xun2LeUDpF0bXRLpi8LklS5aY7x555JGSbJiJsRZ6DXv16iVJ+uSTTyS1ONskW3f97rvvlmTDde+8807eY3Kf4QzEjNhqq60y5nXGGWdIaqk4y4NPR8ljjjmGeWXNLxf8NtvDo0zQasyMYyONbgxRdY4LPFarMzPjvuGGGyTZAoUU9hs9enTG5ymbxFb0rrvuktTCavvtt58kadasWaG/lc8B5lY+lWzoCXb55z//mfGZfv36SbJMReom87j99tt18803S5I+/vhjSS39mSTpjTfekGQdboMGDZJkxRzTp0+XZM/RqlWrspRY3EsBB2FR19B9BiZPnizJdr949NFHJUkHHnhg1ncoUYVjb8qUKRmfde9RdjsUDfzBD35gHHAuAqIcz8weHpWEkjFzPlsVJCn455YNQsfLCkbIJAlam5n79++f1/bChkO8QAlYijNQorepqUkvv/yyJFsk0EWUaIRzxt+gQwb2gKHZTSE3HTBggCTLRtT3pvRxY2Oj8Vvg+DrhhBMkSSeddJIkmXHDzPwWzr/f//73klps6CjxCnZ+2DV0HZHB77j3fH19vSQrKaUOO8e47bbbJFmn3PLly43N74pEOPYPf/hDSdL999+vXLjiiit01lln5fyMt5k9PCoMJWNmd2V0exHDPgcccIAk25U+Fx555BFJLXaGJB1xxBGSrGi/EARXva5duzZL0r777itJ+uMf/1jwcXP8XuR7sBiSR5If6D44b968jM/X1tYaOzZKWBLFzHhQ3RBKr169DEu63RYQgixcuFCStPHGG0vKLrBYU1NjxjNq1ChJtl8Y7I3XGsZkbscff7ykzEL0LhMDvOkffPBBQaEp5s6uJCBCkWR3jXighwwZIkl6/vnn84aT3CQUwPfY5bhhtjB4ZvbwqDCUjJnxzNLXB6EBtjExPv6faxxuTya8u3369JGUXvuWqPmlUVoYO5RYpmTnHrdDopu3HSaAcJFPNBLWmoXzifQQUQjXNF+qYFVVlZGkIrggVu2mGy5YsECS9W5zTfGk33vvvcYzHJXznOsaYsty7r744ous+wnb/5577pFk47zFgJ0GuyqAHwStQJwukp6ZPTwqDIkqjcQBaVu77rqrpGy7y61WgVgfG5q4pCRtscUWkqTXX3894xjIBbt27SrJ2l+lQjGMjCc0yMgPP/ywJNtALh+wGd1KKsFxoY6aNm1azmO50QVYGBu1S5cuJlaKeonYcNxxTp061Yw1iuVgZqpqYI+T/MDckLhK2YwM++cC7Mvf2tpaozrDRqYP85///Oe8x4sCY6F1EBELmNmVosZJ6oibRgk8M3t4lAlSZ2ZWczzCrjeb+LPb7C3M3o1qQ4MiCVvHLU3TnoCulxhxVVWV9tprr9DPstNwk+OJQ06aNCnyd1xG5jxHIUoHsHLlSv3qV7+SpKyEi3zA/ps+fbrRN7vg97CV8ak89thjkrJtzMbGxowYeBCFXO/GxkZjjzPe733ve4mP497P9HLmnPF/wOvE24Njh4E5N/xNqpb0zOzhUSZIxZsdtsqTLta3b19J2UXf8Ci6GuEgXLbmuzAy9lYxKJUCDJZFd4tXd5999smKX2Nr4vHG/nIVWIUgqqCfq7PGD/Hcc88V7L0PFhzA80yM1s1MYjfF7yZpcM554R5avnx55DVkLrDx8uXLs5Rdhx12WMb4XYSdD9rLcF3nzp2b8TtuaiRpq3H0FK4q0nuzPTwqDKnGmTfaaCOjc2U1o9gbcT5+DxZndQ0C5tpnn30kWWYiNodHEBVNMSgVM6NkYuz33nuvpBablLnDBHh2OWfYzHh2YbU4cLN03IybXr16NUst5YEkG0146623JLUwZr54PazqFutDjzxjxgzzWeZKnJm8XkoSwWynnHJK5O+5pXaJeHB/zJkzx8zRjaO7u8Zg7XM3vo9ajegJJY9cHXtTU1NW/jf3sasuA4Vk+CXNmkrVAcaDLGWn1rmC9I022kiSTZt79913JbVcdGR63NRuCIJQFKEr5IXtAWz9r7vuOkn2onLjXHbZZWburiOGG4JiBG5VyjjItziz7SWpgIc47vellrrYkvTQQw9JsnPjWFVVVWZObJ+p8cUDghAFkUguEOaiXvYvfvELSdLpp5+e9dlALW1J2Q6+4P/dBA6clVQaufrqqyVZU4CkkCAwkdyHmMWbBSJJGJVjco3iwm+zPTzKBCUvTsCqx4rF6op8ELCSsioF4dZV4hiszATqC0Fa22y2RDAz1RsRDyCiWbFihd577z1Jlq3cbbdbNbIYuM6T2tra5uBvgjjtangPNmUe1M4aM2aM+Y6baIBphGSSEkOUTHr88cdjzwmnHU6opqamoq6hWz6I+SLJ5NrxrIwcOTJrvO49CgijUsQgTk3ugw8+WJLt2/311197B5iHRyUhddFI1g98w7SsXK7TgYICsO2///1v4zRDCopoAMDqLru3JVi1kQoyb2wmnDZffPGFdt55Z0lWOAHTYBvCYnELPCQB55+/hMOw1zn3Qbi/jy1H6inMdeihh0pqEY0wF8oHIfOlOAHnCccXdnhYE0CcdCR64JuJs6uMcw5dByOfxZ/DuQrelxRRYLzIaV0QmgXY3yQLhYFiD0nhmdnDo0zQZqV2SYmkOMEhhxwiSTr77LPNiojn1QUsn0+yGAelLhsEi7Eir1q1ytj4Y8eOlWQ9nJT+iZKxFgLXZu7evXuzZG03pKXYvd27dzesyF9seDzRhAi5dhdeeKEkK+XdYosttP3220uyoShqfO+4446SbFiJ7xLl4Ht//etfGb8ZOzs0vOaM4z//+U/kNXSZef311zfHTCpXDcNxxx0nyUptuaZ4xPHrwOBhOx+AD8XtluFFIx4eFYZ2VwS/trbWeLaxlVyBPattMT2YQLHMjG3MLoL/YyNfeeWVkmyh+Lq6OpNUgL8AAQfMEydhPS7iFvRj3O+8845hPNjmxhtvzPgsuyiK4c+cOVOS9OSTT0pqKfhHaaeLL75YkrUR0RBwfij8x7FIvCGGvc8++2RJPzlfyHqTXMPm5mbDzMgl46RSBjF69GiTSMIxkKkijiHRwhXW8NtJSk97ZvbwqDC0O2YOImps2KEoqIr8jaKY2W3vAsNho7F7QMx/3HHHmdgq80POSYG8OEXeouAmBUSVDYLlSIhhtzNw4EBjs996662SbDorjE0pWuLgvM7/g+WMosrjnnzyyZLs7otijaj68JAfe+yxxhNO8QA8xNjwX331Vd5ryO936dLFsCfzWLRokSTL9BTuc0HEpXfv3iZ+jKQYpj3ttNMkSZdffnnGd+Mkr3AMdnkoAD0ze3hUGNolM7OKYVfRGdB9Pw0kZWZ+m2QQWsm88MILkmwpIGwoPKa0OHnvvfdMiWAKwaPjxb5OE1E2M3BtuS5dupgyOswFBnPVeTAjxfjYpQS1BOyi8OYCUgJhXezycePGScrshDlnzhxJNpEDYOuuWLEi7zVkh/Dkk0+aVjmMn4IIKNq4xijA2EmxixkwYIAZCx5ot3CEmzfAMdFoY2vn8o+QChnceeSCZ2YPjzJBu2RmEDW2tmRmt6wvmTR4X2EvbKlg2pyUmfKJDUjMtRTIp81mPrDVmDFjzGuXXXaZJKsvZ+x8FxsvTJeMH4Dv4AdAT42OG884arLnn3+ecUtqyaajHQ6ebvd85bqGbipuU1OTYXQKBFJIAcCWsGeY3oHxMa8o7bVrK9Om99RTT438TMhveWb28KgktEtmzjcmVsE0lFKFerMpPnDFFVdIsgwEM7uFC4P5rpdccokkmy9bSN5yXOSzmfEqk830ySefGH8AmmV2H9ttt52k7HLJMDL2cefOnQ370R4VLy9eYOLKeJDBhAkTJNmdzfz58825xbfAuYUFc11DNyMtmGvtZjglQVQRAhdRbZqC9zjlhGnuDjh2MCssFzwze3iUCdolMxMDpYH4tttuK8nqdbHv0kChzIyHHT0yGV54qFF8YSMSQ95ll130xBNPFDvs2HCZuVOnTs2SZVW8q8Fyr1R9QT9PXi32LK1NiaWipcd+HDVqlDn+c889J8kqwFwmBhTAo5Ur2Vw777xzlhcdtg3kGye6hoWWZOZ7hx56qNnJJAW7HHYHudr7BsYZi5nb5cOMXA8xQuD3U/+tYkUjjImFB4cOfZrYQrHtLHX3DRf55Jxc/4kTJ0pqCY+xXaa8EemKPIj5JIhxemBFAbkni2OwJplbqzogzMl7DRlPsEMl6Zc4pQChMOZPXe18PbbioJC0Vu8A8/CoMLRLZmblJNXNDR2kiVKnQLY1opgZSSQOKbbKTzzxRNYOKCnLbrfddkZEExV2iercyW6MrfWnn35qxob5haOIz6xevTrrGtJHirRSyvzsuuuuoQUQ4iCNbqDMmw4nt912W94upp6ZPTwqDO2SmYErzk9jZXRRKmZ2S820FaJEI8gpSVvkXHfs2NHYhtjGUee9WAYPQ1jfMNIoKWQAYLI4NjOYOHGi6aWVD6W438JAEUjOOzuGqGSZKHhm9vAoE7RrZgb07p0/f37qx/422cyEw5KITKJ6TbkihqDHePfdd5dkk0PygWQJ5JFEI4KgCIHbUwqpJJ5ytxRzmCjDtS2TXkOYMGmR+VyIsnsHDhwoyQqcKNZH9CBOAwfPzB4eFYZEzOzh4dF+4ZnZw6NM4B9mD48yQaKOFu3VQeQ6c8IQFWYotQOMjJ+gFLBQ0QLAOfTRRx8lzoUtxRzDxkB1jjjNxSXpJz/5iSTbAD14jvKFwJJcw+rq6qxMtmIQN3yFnDdOrykXcR1gBXmzb7rpJknSz372M0nJyoYWg1J4IePcCMVcCBd1dXWRGt9iH/IwuDdCdXV1hjcbJGk5WgzCFrdiEXYNXY1CLpTivKcJ78328KgwpB5nzqczLQZpNFJzx5dki1ZMNlAY3Pmst956kqLbpsQ5t/lK7ba2qeTGkd32qS7CkvldM8ptqF5o6aek2+00FGH55h8Gz8weHhWGb4UCrJQo1AGWxCaTMlvquOc8WBgg+DcwLsYad3gGxTBzKXdZLorReYddwyTnrBR2fJrwzOzhUWEoebP1NJFvtW1NJnEZGaZmjO4qT/7wpEmTtOeee0qyWUBupQu8q9tss40ky+rolinrUwiSMFbUedxjjz0kSXPnzo19bLzlbhYZNiQRCiIiYZVBErJ17M+WgpGZFx5yzg0lmcnRLsb/46LdbbMbGhqyuh8wYepCIdqnCwIhskJQqjizu3WjHM6QIUM0bdo0STYRn3rQxxxzjCRbNyvK4RcM0fE7ffr0kWRrjoG42+xcZkOaiyTXlocWE4PzNGPGDEkttb+klkWQYgRURHUdhO0xWYYEC/pWEc6lBhj3cnNzc17Hrt9me3hUGErOzG55Ghd0DoS5GhsbzZbkpJNOkmRZY8qUKZKyOyiMGDFCkvT000+748273Sp0VXdT8y666CJJykp8h3mY36OPPqp+/fpJsgINVnEYh60YxQEJ67jMGOxlHTU+t+ZyIaEb6nvTX4nxRqG2ttawjHv+qb1NpU/mRKdJigfyOruUMIT1YiLFszVMrTBwTd2ez2y3jz32WEm2b9W//vUvszPjWuZK8cwFz8weHmWCVJg5n9ghCLS6lC917eOGhga99tprkqyTgGT8s88+W5J07bXXSspe9XEM0ZsoDuIwc9Cxw7/ZLcC8rMjYroMHD5ZkbUBs24kTJ+qcc87JeI861Di4mNeGG24oycpIcR4FJZdRBQsCRQdiMXPQLmZudEXkfMIclETic/RkCjqvcN6xq6CLB32XzzjjDEnSLbfckjEOShPff//9klrsSJxnrow3bI6F+ATyIUxkgp3LPOjL5e7Y3F0kx6BL6Oeff55VwMCFZ2YPjwpDqjbz6tWrDQPxd+zYsZJsP2NYnDK6ePU22GADSdIJJ5ygO+64Q5Jd1d3etnRYGDVqlCS7YmOLBlkqSVZRhw4dmplHUmAj4WmH1SiTww6kpqbGdMHAfsID7dpKHBNG5pwGE1qSZk3V1dU1S/EYivAK14iuHHTroATykUceKcnujIKF6xlzt27dJNlwHGEtriWRCbpB0hmkqanJHCOOTck9WoqkHM71nXfeaTpv0GWFubObcr+DPwc/CHPaZpttTDfQqCQXz8weHhWGVEQj2FDB3sMwL7YjnkdWdwT4bu/b2trarH5EsA4d7ik4d9xxx0mSfve730my4nVWww4dOiRKy0zCyOwSOD7MyzH4P3Ph3MycOdOMGx9DFKtiK3OssDhkUolnPu/3mjVrzPmjJxa7jE033VSSFbOwY4gqDijZ88G1IaoBA/N/ru1ZZ52VNc5CUmtdRi4kVu7GxMeNGyepZbeJJoDjUXSf7pX8HvN8+OGHJdm+1Ndff72kllLHDzzwgKTiU209M3t4lAlSYeagRA+pIh5Qlz3zrbJ4qoPgO6407oYbbpBku0S+9NJLod9LC8G4NXNmBSY+SplZVF54UemQuOeee+ZlZFc95s6bYzY1NeXs+5sEMEzXrl212WabSbIxc+zDv/3tb5KsXwAGyTcfyarZ8Gpz3mBi7heiA8ynuro6q8dyIRLIQuLONI574403JNlr/uqrrxrbGJ/I/vvvLyl7l1JfXy/J2sP4CvjceeedZ+ZcbPELz8weHmWC1BVg+epxUSid1R+bCaVYVVWVYTEahUX9BsB73bt373zDCztWUbreYGqjZJkFP8IPfvADSZaZXZWaFG3PxYmNFlsDzP1+TU2NYV4KtVOfC48ttjTe+DjAZ0JfY3TpaLBnzpwpyUY/khQOSJoCme+cRe0AGPPy5cuNgu3ggw+WZPssu3Fm1HzcB9zn+BByzS9KKxAFz8weHmWComxmPNHYdKtXrw5tJxIEMVaYmZUKfPjhh1qwYIEku2qhqgKsWHgO4yjPwI9+9CNJ0uzZs2N/hx3CsmXLst5zdyKcC1iVsRNnD4PLyBwrTsO8YssYMU7i/0uWLDHX8IADDpBkmYr4PxlAcYDSCfufc0nsmuu/yy67SLKKto8//riQ6RhEnZc4en0YmbHjB1m+fLkkad68ecbzzE4z6r7He030I6x1T9I5RMEzs4dHmaDV85lZyWAEVmpWunnz5pnkd8YGQ8EQrOZJGDkKxdrMbiySeeCdZZeRBKil8JAXgrhZU66HfMqUKTr33HMlSffdd58kWwObY6IhJzc3TDNNFOPBBx+UZFmNzLeDDjpIkr22KLbCkK+lbJKWrnHAPXrllVdKkm699daM94844ghT3xsdgauX4HX8D4W09k1qM7d6pZEtt9xSkn0Q3YuIo0CyNxjb0N/+9rcZ321LcGMHKkRKslu0t99+W5JdgIJgASAUQQjo8MMPl2TFGcUUBQj73TDgsMM8mDFjhhE4PP7445KsScRnCNn0799fUou8UZJeeOEFSS2SRRIm/v73v0uyNzML1bx58yTZGzasKif/jyKcU089NdYck4IkIBYrrjFFEsaNG2decx9iTBMe5tbsz+232R4eZYI2KxsEO1111VWSWhIsXCAC2WGHHSTZVR3nSRoodpsNe/IXRkSeiIgedOzY0bx3xRVXSJLuuusuSZahcQLBhEmuUa664FK8RAt2RMOGDZNknZaIWdh9uPJNwjP9+vUz15fQI+FDkjN4HccQcwa5nH6YAZMmTcqaY5r36IknnijJJn088sgjkrLZWJIuvfRSSTbxgt1NGvCJFh4eFYY2L+hHYjalU4LAEbbffvtJsjYSzFFIb6AkHS3iSCTzdUdwBQi33XabKZ1zwQUXSLLiDKp0wtR81y08wOs1NTWRktWkxQnC5kpYDYcjQgnsQMbB65QXOv/8843j59FHH5Uk/fSnP804D3wX8USU4KeUpZ/iArEMSUKSdfoxDzcElyY8M3t4VBjajJmxQ7beeuus9/AEYk/BojByIYgqr5O0HajrxY4CKzbJ+Px//PjxZl7YXiQbEApxk/FhzVwJBnFa1kr5CzDU1NQYJl6yZIkkWwQCexBZI+MePXq0JGvLDho0yOw+KNQHuyFrxR7v2bNn3rkFxxb22eAc0yzox3VwE10kO252KW697zThmdnDo8KQCjMn6c+8/fbbS7Ie0lzyT2KUCP1JJ2N1T6NHUHDV69ixY7OUex4kULAik0AAi7olZkmNw1s/atQoY0fy96mnnpIkLVq0SJK1x2CXYlL/4hbBx8b98MMPs5LkgymXUnYvZ84Jn589e7YRhcBqXGeSM4jZIm8shknTtpkpOsgOhNJGaCBmzZpl5hyVUJQmPDN7eFQYWs1mJlZMrI5VntWPcVxyySU6//zzJSkrFZKSrrT8QFaIVDAJAsXxiiqCD6Pkkxxif86ePdskKrCjYQfC/PibtH9wGOIycxotaMJ6D5MMA5PhD9lqq60kZcfhC0GxzOxKWtll4aVn9wBjL1u2zKjgWqPYvmdmD48KQ8mZmVWPwvabb765JGsH8vu0IRk+fLhZIYcPHy5JmjNnjiRrf9LSBsVRWsyVZH4uEw8dOlSS9Prrr0vKXrHx7i5evNis/NjGFPt/8cUXJWWXXIXV3JJFcZC0P3OcuG4Uwtid19BxMzf09a6KLJAgEvt3C72GRBMoOsk1hImnT58uyaa+Mnbu4eD4S+HFBp6ZPTwqDEUxM55cbLxcwFsKq2Iv0o6VDJ3u3btr/vz5kqxX2fUYuqqrYpB0VXfHErcoHymRS5YsMT4AMquIuVNCB1bCq8xOBYZOkjVWjM0cNxXTZafu3bsb25ioxSabbCLJ6p0pH8R5YqdG1hGsGDW2qDkmuUddDTr3oKu9drPFmpqaTPGELbbYQpK0cOHC0LEVAvce82WDPDwqDEXlM8dhZIDyimwadL+wEKVLZ8yYYTJQohCXkSdMmKDrrrsu9hhdhMWx+W23STh52dizrnoLb3aPHj108cUXS7KsASvh8ae5nlvGN81WKyBYpA7AWC4jRzEk54Tz1dzcbGLO6M8PO+wwSdLkyZMl2VZCJP4TmQgystSyO4iad1iM171mue5R7j005TCyqx+fNWtWxhiD8y+WkYOtfIq1vz0ze3iUCVL3ZsNYbpMv7L+9995bkrWH8VTz/zD9NSslcUxYJKoVZpIVrlCb2fXC8n+yZ7Cz+BuMq8N4jC9pW5KgzyBJRtE344xtM7OLYg7sJNxsNbc6SNAjzl9ytWFmjoVtDQu6JaKampqMTUtEJDAXxlyQN5sC9u+//74kG/vmuIxhxIgRkqz9n0ZsGW13nNz8uN7skoemopwohAO4eDiBunXrZkIBbt1sygZFlYspZJuSluDA/U2KLpx++umR3+Eh5rtJH+ZcNxUPYkNDQ6LQVBhIUuHGo4MINcLYMgfHg7OOOtg8CCRc8DBjlriCjbCa4XGSSZIsyO4ixL0KadCdZenSpZIs8XTr1i1Rlc1i4UNTHh4VhlSY+fjjj5fU0vupUCM+uM1i1S5lWhkIW9XjSjXjwP1uXV2dcc58//vfl2S7XBSTUBGFqG12GmKHqB1CVVWVYWYcg1HhNHccbKkJTybt+FCM5DjuOXn22WeNoKk14JnZw6PCkLrN3BrytjRRrL0VhVx9otxjUAyAIndpIoqZo9JHa2pqYu8MsDEJHYX1Zybc4zq6AmWbMo6J7JWyvUFEndNcu6tcySr5rmVUQYvWhmdmD48KQ5sX9EsTLiKqEW0AAACTSURBVAuEYcKECZJkxCSlLgYXB3HTD3Oxlos0vdmB70oqbNeFSAgWd69RVMgvDG5zhGDXjlJcwzR3m8hYDznkkMjPuDsQz8weHhWGRMzs4eHRfuGZ2cOjTOAfZg+PMoF/mD08ygT+YfbwKBP4h9nDo0zgH2YPjzKBf5g9PMoE/mH28CgT+IfZw6NM4B9mD48ywf8D0rJPmy+XbysAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96fa08cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3250, D: 1.292, G:0.8375\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb9f39e8518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3500, D: 1.294, G:0.8506\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96f6f7eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3750, D: 1.437, G:0.8031\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb976de3780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "D = discriminator().type(dtype)\n",
    "G = generator().type(dtype)\n",
    "\n",
    "D_solver = get_optimizer(D)\n",
    "G_solver = get_optimizer(G)\n",
    "\n",
    "run_a_gan(D, G, D_solver, G_solver, discriminator_loss, generator_loss)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Least Squares GAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "def ls_discriminator_loss(score_real, score_fake):\n",
    "    return 0.5 * torch.mean(torch.pow((score_real - 1), 2)) + 0.5 * torch.mean(torch.pow(score_fake, 2))\n",
    "\n",
    "def ls_generator_loss(score_fake):\n",
    "    return 0.5 * torch.mean(torch.pow((score_fake - 1), 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum error in d_loss: 1.53171e-08\n",
      "Maximum error in g_loss: 2.7837e-09\n"
     ]
    }
   ],
   "source": [
    "def test_lsgan_loss(score_real, score_fake, d_loss_true, g_loss_true):\n",
    "    score_real = torch.Tensor(score_real).type(dtype)\n",
    "    score_fake = torch.Tensor(score_fake).type(dtype)\n",
    "    d_loss = ls_discriminator_loss(score_real, score_fake).cpu().numpy()\n",
    "    g_loss = ls_generator_loss(score_fake).cpu().numpy()\n",
    "    print(\"Maximum error in d_loss: %g\"%rel_error(d_loss_true, d_loss))\n",
    "    print(\"Maximum error in g_loss: %g\"%rel_error(g_loss_true, g_loss))\n",
    "\n",
    "test_lsgan_loss(answers['logits_real'], answers['logits_fake'],\n",
    "                answers['d_loss_lsgan_true'], answers['g_loss_lsgan_true'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0, D: 0.6386, G:0.5299\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb97b0cb940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250, D: 0.2152, G:0.2634\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb976ee84e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 500, D: 0.2231, G:1.336\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb9f2da4860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750, D: 0.2879, G:0.03559\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb9f2d63630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1000, D: 0.142, G:0.3354\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb97b06dda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250, D: 0.1242, G:0.2598\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb97008b208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1500, D: 0.1851, G:0.2144\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96f6b2908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750, D: 0.1966, G:0.2227\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb97b106c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2000, D: 0.1772, G:0.2497\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96f675c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2250, D: 0.2674, G:0.1244\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb970168390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2500, D: 0.2376, G:0.159\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb9f3908e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2750, D: 0.2315, G:0.1651\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb976dd7c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3000, D: 0.249, G:0.1695\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb9f30a3f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3250, D: 0.225, G:0.1647\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb975a7dc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3500, D: 0.2402, G:0.168\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb97008b358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3750, D: 0.2411, G:0.1738\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb97230f0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "D_LS = discriminator().type(dtype)\n",
    "G_LS = generator().type(dtype)\n",
    "\n",
    "D_LS_solver = get_optimizer(D_LS)\n",
    "G_LS_solver = get_optimizer(G_LS)\n",
    "\n",
    "run_a_gan(D_LS, G_LS, D_LS_solver, G_LS_solver, ls_discriminator_loss, ls_generator_loss)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Deep Convolution GAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([128, 1])\n"
     ]
    }
   ],
   "source": [
    "def build_dc_classifier():\n",
    "    return nn.Sequential(\n",
    "        Unflatten(batch_size, 1, 28, 28),\n",
    "        nn.Conv2d(1, 32, (5, 5), stride=1),\n",
    "        nn.LeakyReLU(inplace=True),\n",
    "        nn.MaxPool2d((2, 2), stride=2),\n",
    "        nn.Conv2d(32, 64, (5, 5), stride=1),\n",
    "        nn.LeakyReLU(inplace=True),\n",
    "        nn.MaxPool2d((2, 2), stride=2),\n",
    "        Flatten(),\n",
    "        nn.Linear(64*4*4, 64*4*4),\n",
    "        nn.LeakyReLU(inplace=True),\n",
    "        nn.Linear(64*4*4, 1),\n",
    "    )\n",
    "data = next(enumerate(loader_train))[-1][0].type(dtype)\n",
    "b = build_dc_classifier().type(dtype)\n",
    "out = b(data)\n",
    "print(out.size())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in generator.\n"
     ]
    }
   ],
   "source": [
    "def test_dc_classifer(true_count=1102721):\n",
    "    model = build_dc_classifier()\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in discriminator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in discriminator.')\n",
    "\n",
    "test_dc_classifer()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/lzhang/anaconda3/envs/cs231n/lib/python3.6/site-packages/ipykernel_launcher.py:18: UserWarning: nn.init.xavier_normal is now deprecated in favor of nn.init.xavier_normal_.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "torch.Size([128, 784])"
      ]
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def build_dc_generator(noise_dim=NOISE_DIM):\n",
    "    return nn.Sequential(\n",
    "        nn.Linear(noise_dim, 1024),\n",
    "        nn.ReLU(inplace=True),\n",
    "        nn.BatchNorm1d(1024),\n",
    "        nn.Linear(1024, 7*7*128),\n",
    "        nn.ReLU(inplace=True),\n",
    "        nn.BatchNorm1d(7*7*128),\n",
    "        Unflatten(batch_size, 128, 7, 7),\n",
    "        nn.ConvTranspose2d(128, 64, (4, 4), stride=2, padding=1),\n",
    "        nn.ReLU(inplace=True),\n",
    "        nn.BatchNorm2d(64),\n",
    "        nn.ConvTranspose2d(64, 1, (4, 4), stride=2, padding=1),\n",
    "        nn.Tanh(),\n",
    "        Flatten(),\n",
    "    )\n",
    "\n",
    "test_g_gan = build_dc_generator().type(dtype)\n",
    "test_g_gan.apply(initialize_weights)\n",
    "\n",
    "fake_seed = torch.randn(batch_size, NOISE_DIM).type(dtype)\n",
    "fake_images = test_g_gan.forward(fake_seed)\n",
    "fake_images.size()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in generator.\n"
     ]
    }
   ],
   "source": [
    "def test_dc_generator(true_count=6580801):\n",
    "    model = build_dc_generator(4)\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in generator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in generator.')\n",
    "\n",
    "test_dc_generator()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/lzhang/anaconda3/envs/cs231n/lib/python3.6/site-packages/ipykernel_launcher.py:18: UserWarning: nn.init.xavier_normal is now deprecated in favor of nn.init.xavier_normal_.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0, D: 1.342, G:0.3407\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb976f17a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250, D: 1.455, G:0.3827\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb97b1c7160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 500, D: 1.343, G:1.038\n"
     ]
    },
    {
     "data": {
      "image/png": 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FyaJ28ixLk3SMNDm6lXTRepQjbm9vD+6z7BnySNgx+dJ/FUugexDOYbcbsMchzfr+/e9/A6bZn6RFxWIrTlxz//GPfwx0SobKllLFGZU8dkk8Wa572vj6uvWaqgV0oeRikBhmh/1FfSeqF1MlEa1QKNS9JzC4N6CmpiZnaKP+D4ug371fl3v4f//3fwCBuP3CCy8ARnWyr6Md/hpOidVatMnaSRttbW11VZXSPAfV/JhDBmcvZnt49CR8r5lZsMWRcI1ul/skVC0y2PV69epVhHIxWwzQ0dGRCzNXK6oncVm4ukDaBrA81YYwFHihiqIKGhFDu8RRu3dW+G97rqECe8EaXQa+rkI1QTqemT08eihSMXN32/UEW6cM7+QuBoja1VtbW0uYOarAQndae3h+9s4f6qyQyDVVq7lpHq7URBtRJYtdRj0ZrL7++utMrqk8YT+Dcf2wkiLK9RYHz8weHg2CVK4pmejlMrJ3o3DonZ2OaCdYaAe2mbKtra2stK69y7n0ECG8u7s+i+qGoAQOrS+q97ErDc/W211dL8N/p01cj+q97JI8otYHxvKvhIC4ubiCVtKwjSt9sZIuGWXBt+cj11EYCqt0hfaGPQBRn0EyVtf11XPrKsbheobt98Pn16udRloJnpk9PBoEqXRmDw+P7gvPzB4eDQL/Y/bwaBCkMoDNN998RTAZL1GGgkrOcZdBKolBoJJKEHVu1/lkKJk+fXpwQEtLS2TQSJwLyIUkc66ULeVyc4TP7YrfDWX1lEzUtcbweC5DV6U1h0MyZQCSYciuvGE/O3auchL1L8p1o2dUIb32OsPPRB4GvqxBN+E52FlguqeqXjJx4sRErqlUOnOlB+H7hKgHIU8fbK0iqyqdx35Q586dm8rPHGWxTzoH/WDb29vL5uOK0stq2bfGSnUP63Vvos5pI4q8hKhYiDh4MdvDo0FQsxTIahLr64Go+SQVe6FySZ9aJv/HjZFUFcn6eRgRUkDJ/2B8wUqFFEMr3kAqWxZmzlI2KOwPzlPCzPq8NzU1OeectnGEZ2YPjwZB7o3j8i6UVytkXYvLAJbWSNdIsK9J7969A+ZVyR0xoqIIVSwvzX1IYnysFL3V1NRUE5tP0vuaRiJMG1/umdnDo0GQu86cthROnDtAObFqdZonq6WRIMLMkHUOjczIglqybLXVVkEZnaFDhwKw/vrrAwQloVSBRNVh0pynmms5d+7csrwAW4+vxb3KMmba79SsP7MN9e+59NJLAVh55ZVLPpffN+68Kjlz1113JT5vHmJ/HulsYcgYJOTVkSMM17pr6ZbRD/eEE04IzqOaX4sssghgfjBp7qELWX8gErNlnHPV5f6+wYvZHh4NglTMnMb8LtFFPYdU4M01VpLzqivi+++/D8Crr74KxBsKkkZsxX03C+xUREkeRxxxBKeddlrJZ0rXU5/p0aNHV31+13droaoorfKII44AOo1b7733HmA6dKqzh1Iv1a0k7yICtuQRp87Z0WndRRWKqyAbB8/MHh4NglThnPPMM08Rynv9aHctFArBe6qLrd7CMmbZPYeWX355wBhC3nnnnUCv1k6vY+Tm0JxV31gd7aWfxZXYtRHuFpBHOKfOI2PQkCFDALjiiisAWGKJJSp2CNT51UdYEkkWhEMdIZ81itHEyBtssAEA66yzDgB33nlnULtc9bOlK3/22WcAfP7550A+9oLwGu2yQXE1x6XHr7jiigC8+OKLgLtee71gG+h82SAPjx6GVMzcu3fvIpjsmDXWWAMwelF7e3uwA6oHj2Cfx1VOJQwxwIgRIwA488wzAWN9lF620korBeevhIgifbkwszpySB8WVlhhBcCUgOno6AhYe9lllwVMYTp7bpI8ttpqK7LOK09m1vy0VrmbtA6t8ZtvvmHixImAuc8TJkwADOvJTpCH5ThtooWeq+OOOw6AY445BjD6vDpdbLTRRgA88MADgPGmhJ/z66+/HoCRI0dWvY7QGkr+t5NlnN/LbQYeHh5dikyldgXpflFF2/KwDGqHkiVUPXHV01m9n/fdd9/UY4eKtzWF3ks96YUXXhgwRd4ltbz00ksA3HLLLYDxq06fPj2QWuw81vXWWw+ACy+8EICllloKMPYF2Rt+85vfADB+/PiKySF2B8E8GhkoJFOSmWIGfvrTnwKd9oKrr74agA8//BCAl19+WfMBzDOThzU7LTPrufrtb38LwPHHHw+U+//lgdAc9bxH2V90bzbeeGPASCJ2ob+QHqy5l41VKY3Vua4kB3l4eHR/dMv2NNoBZQFWv2bt8tpZn3vuOcD0b86C8K6eZn2aw7333guY6CdZa48++mgAHn30UcB0ppw9e3ZFqUVWYvWdtnd32QpWXnnlsq6KgljGTmzP4x7q/hx22GGA6cEsq/aHH34Y2DkUE6De2bbfN4+kh6z3UOuQxV1z0vWXBCL9XrESLS0tnHHGGSXHiEXF0D/72c8A8+zKW6P7Mn36dMBY+aOga+WZ2cOjh6Hm/ZmTQjvWHXfcwfDhw0s+23zzzQGjd2nHmjp1ah1nWIoBAwYARkeSDqSIt3feeQcw/mb5U7Vzx0HWYTGCrN3S3R566CGgU6dzeQVqGc2ktUoK0XzDsc5apxjIblej17he2rWCXUxBPm9BUoSNN954I/hbsRDq7bzPPvsApoezWFwsf//99wPmetSifY5nZg+PBkGXMbN8krL6yh8bhbFjxwJw9913A8aam0ekVtbvLbnkkiXva5d/+OGHAYIUQEW+pTmfGE4MKFZ/7bXXALjsssuCYyWl2NbRemT+SFKaNGkS0BndBqV6oJhJEoqixCTZKA691gydRxprGLq+8laIebUe2RNkM9Hntbwvnpk9PBoEmZg5SdlQF6QrySKr2sBxmDx5MmDinBWZ8+CDD1aerANx/r0kta6nTJkCmOwfYd111wUMW73++uuA0ZXC0LVQHLtsANtuuy1gmG/cuHGAYQExdBzL1CMDSKy72mqrlbw/efLkQM/X2g488EDA+KQXW2wxAAYPHgwYX6/uddb5Jy2wmDfkVZAEIiu34hBsHTnJfGpanKCaipu2I1wGIj0Qcr+MHTuWo446CoCBAwcCJtxOLpCLLroIgE033RSAjz/+OPM8skJGEwUHrLXWWiVz0nokbushLRQKQTCIgkNUSeWUU04BTDDMtddeCxiXnB1skgV5FCfQGOeffz4A/fv3B0qbI8g1NWjQIMAky2gTlOogd5bGOuSQQ4CuMYxVAz3HdpENPeeubphRqNTJ0wUvZnt4NAgyidnV1DOSOGIXK4iCGPepp54CYM899wTg8ssvB0wAvEoSJUmniytWkIa1dC6lJ8qAJ3aSMUhSxY033gh0urI23HBDwLDPmDFjAJMwIuOaxGyN2V2S5yU6ShqREU6v6623XqBWiKkUkqpXXT+pJXbwRVbUu1uFAk9WX311wIQaywh4zz33AOkMX1ndi56ZPTwaBKmYWTJ8Gvk/T9x6660AnHjiiQAsvfTSgNkNx48fn3isahlAEoZ0ZiWB/PznPweM5CGDiAxAYNjp5JNPBkxChQIOZDySLp1ngEEe9+yaa64BylP1xLbPPPNM4D4UQ+u8YuBVV10VgGOPPRYw6Z5JqnXGoRbBGHHQb2H77bcHTHqoroXSKbPA18328OihSMXMXcXIgs57++23A6asjgJQ4krE2EhTWijqGLmVJK0oGEK6sq0Dhsu4KkF/7733BuC6664DjOtJY6sIQ1zb23pC85BrUPPQvO644w6gs9yTbb+wr4PWJuZ+4oknSj7/vkDXRIkVeh5ULqueHVM9M3t4NAjqVgQ/Tyj1UUHudvK4Ky0wjKxdGfU9hVyqoIACJxREIt1PKXAqozty5Ei22WYbwPhgFUix//77A6ZwoSygdmBKEtSy55c9tthVvuUor4IYbLnllgMIkmlUqkelp75v0DOn4CddG6XA1vM345nZw6NB0G1SIJNAu552d+mlsmor7DEJonZMWzeN6z6ov5UuJ1+w0gJPPfVUwPjINca+++4bFO9X1JD0RwXpKx307LPPBgy7Z4m4yxM6vzo4zj///IDxhytlMwryONhJ/RdccAHQ/XzpSSEpyu5XFU6XrBc8M3t4NAgyxWZXU6ZVO7J24jQWcvlfFf8s3VjJDNXu6rYlNY7dxELSnW1dWRZpu+hhW1tbUAhPPmhFtEn/1vtKRqhFS5lqovik52osFWhQZ8cRI0YETKUUQNkHdI3FXJJc6mn1zRPyqOhaqJB+ToUKUx3vmdnDo0GQipkr+XFbW1uDSB7FH9vsph1YkVO77747QFA0vVgsBueRLilLoTJvxIp2CdpqE7/tYnM2wimHymB67LHHSo4ZNmwYAH/+859LjjvooIOAzgwoxWTrVSVnFC2kdSobKQtqac3eZZddAFOsT/dJ65D/HCi7XireIJ90Fkt9d8Jee+0FmOv9hz/8ocvm4pnZw6NBkIvOrPcHDBgQtCxxMYMiZJQto3xP6b8tLS1lxe/EYE8++SRgMpRUeF4xzPW0hOpcmqvylRWTLb+zroMs0muvvXaQC73MMssARtdUXK+YTlFlyjxKk89cy6IFkog0LzGyCt/Pnj07KH+sQvPPP/88YGwKtSqfU++sKUlPOt/TTz+d29i+pauHRw9FpthsG9qVJk2aFGTU2Nkvig6yqyfI2htucypLsHTjv/3tb4DRt1RxRD7dLFUponY9e31J8krtz5Tra48v37F8zOHziaUkYeh/Wf7VelSMLobOGsWWF+zmaXqtF6LWb2f22Uyd1/WRfcUu2BhX1D4t0jJzpl5Tcd9xiTl6MGUIUvqf3E0Ss997770g+EPpcUpMcIn3QpRryfUd3fQ5c+aU9SmKgx1Aotc111wTMAn7Cs1cZZVVALP+5ubmYJ6qTKrUTnXw0IPoqrypTa6pqaksDdFeZ1tbW+4dLboLojo+2P2Zqyl1FQcRjtQsu0NmHjXdRXDhZzQOXsz28GgQ5M7MFU9oMZoYMmwQSTu+SxwpFArOQBAZmWbOnOnsIGiPG2Z6202nQA+pF/Z3ZSzq3bt3oBZUMgJp95eILvE6rA64rqfmZ/eayuMedheEnp2KzJz3euV+k/HS7lNVDTNrzrrv4Wc0Dp6ZPTwaBJmCRqoJvbMNEbVMRg8HebgMUmFUCorp6Ogo61MkVDLCibHTlMWRHSGul6/9nubu0qWjJKGkyCOc1y5SkAVxpWjrJXE8/vjjgOn7pSChLIzsKv8s6TEpPDN7eDQIUjGz3C4KtE9i7neFc8Ydb3/HxZi2/hpXPlfHiJGVuhaG9F47OCOqXI/NUpXSJ+05x8FmVenOdlJKsVgsW7OOVXqiDSVvKPAjrnySfe3s+Yk57PTFuXPnBqxps6jL/Wf/H75+ruchirlkm7C7bUZJaFHnSoKWlpbgWKW62r3D7d9GlP1Fx9sShp2UlBSemT08GgSprNkeHh7dF56ZPTwaBP7H7OHRIEhlAGtpaSlxyNeiAkYYrvFtw4zL6FQoFJxGulA4XlnAQb3apLoMd7YRxTZSuUIVw9+V8eSrr74qOWieeeYpgokhjjKAJV1nHqGSlTLxouqu6VVGvilTpgQHtba2FiG+gk0eQUlxPcvC7ysk0z5OrsHw9bcNjTLwffvtt4mCRuoeAdZdEBU91FVxy3lGKdkPkR2bbUdIdXfEWZ9DsevOKL7vM6Ke0Th4MdvDo0HQ5aV2a5XVEjU2mN08nHJZaS5R7FCr+aVBoVBIHZWXx/ztFq61KjQApfHwadoHNQIzp4VnZg+PBkHd2tO4jDw2s9Qq7tc2JkUxWaVzR+VHV4MkRp+o48KGs7wK96WRPmyjYpqGfUkRjoqqFE0VNbc851CLMsBJJAhfNsjDo4eibjqzdiC5hOQ6UdOxLLu6di7F4+pVGUxz5sxxslzW3bYWOpkdv+xi4qiMM9udUe36wvOp5KKzC/znwcxJbCj1yLgD86xqTnnYBuJy5CsdWwl1N4DpxqvcSpb+SfrRqk/R2muvDcAjjzwCwCmnnAJ0Xvw8fcZ5PzwLLrggAEOHDgVgq622AuDiiy8GTPC+HiKtP5xmV6kuW1KEReak69S88hBD9cNRr20lSrS1tXWZMUv9sfS8iXgQUpw/AAAYqUlEQVSOO+64oAOpoGs2ZswYAE466STA+IrV+URjhP38ts8564bsxWwPjwZBqqCRPIIq7KCGJNUM7TIqSjs74IADAFPw76c//SlganHHrS2qGFyeQSNxoqo+22OPPQCzno8++giA8ePHA3DLLbcAZj1KzUyCqPV9d+7c1pin4UupmRpLlUrtVMao88cV9KsGqv6q6qhpILZVh0xJWccccwxg7nVTU5MzLTRk0PVBIx4ePQlV6cxZjEEud0z4fRmCVAxBXQOuvPJKwJS11e636qqrAvC///0v8Zxr2YsJ4q/J4osvDphSM9Kdtd6BAwcC8MILLwDwyiuvJD5vpXXlacCziwemMRDZpWl/9KMfAfFFE+oF3Q8V5xPUR+zBBx8M1qyeWdtuuy1Qfi1USnrIkCEAbLbZZgDcfvvtQKfkkZddxzOzh0eDoCpmzrK7y2qp4vDayaQPzpkzJ9CnZUVUN4zBgweXjPHAAw8AyRjZRr13/rBEIB1JepRYSTaBKVOmAJ0MANks/i6GzoORZZmV9V2F/8U2n332WaDz2m4r3e8lllgCMDqkpK1LLrkEgLvuugswRQ2jUE3GVxxuu+22kv9//OMfA/Daa6+VnXunnXaKHOOQQw4Byju5qBfZnXfeWTJOFFxFGZ3Hpzraw8Oj26JufmZ7R5YlV32cxcYjR47kgw8+AGCllVYCjJVaTC3r7s4771zxvF0VeG8zpPyN7e3twW4sq7V2ax0rZpaVPs35XP/b76e5HjarqMXQcsstBxh2VVfOjo4OZ68njbXJJpsAsOeeewJGT5WOqf5izc3NTn9rmhz4JJBtRv2jJC2EGTkpZMX+9NNPS+albqBhL459jbI+s56ZPTwaBLn0Z07yHTGTmFk6g9jprbfeAuCDDz4ImEvlcKVLqoC8ukAmsZ5WKuUaNdc8Ekq0Xq0lHN0jKUWShh3Qf/7555f8nwRZSvomxRFHHAHAiSeeCJhw2d122w0wDfCSzEvXQdFVqhYiplL0nqSSJKWA88Kyyy4LGIlQ+u4vfvGLxGPo3uoZXXHFFQFTNF9RilkiICueO7eRPDw8uhR105mlj6jH8MSJEwF4/vnngdIkAjHVuuuu2znJ7/RpWXf/+9//1mSO1eySkiKkb2nn1XrDDCMJQ+vTeWW5feyxxzLPo1ISQhrpQ/77X//614BZm/zjcYzswqBBgwDYYYcdSuYjXfLRRx91zs9lh8gLulfCPvvsA8A999wDwH333QdES4R6ZnfccUcAfvWrXwHG86LnXBJoeH15sbNnZg+PBkHNmVn6rnzEr7/+OmBYKGpX0i531FFHAYYRzjnnnNzmVa3ObLPD8OHDAdPi5o033gBMfG94TEkasgbbVuw8GnVXk1ane3bWWWcBsMwyywDmnl166aWp5yMdWd9ddNFFASOlXHbZZUB5q5so2PH9eeG9994DjN9fTH333XeXHPfFF19w7bXXAnDRRRcBcOSRRwLGS6PsryuuuAIwmXCS2MJI6omoBM/MHh4NgpqXDZLu9v777wPJrHjyQWr3lv8yi7/Php2BFUbKssOAYeL1118fMJFtZ599dsn59NqrVy/WWWcdwDDdzJkzAaODSs+yM8rSFD+ManeaFFrb8ssvX3JezUdj2/MLF1eQxCL/8fXXXw8YaUSW+nvvvRcwdoI4D4VtD9B1yxuKRjz55JMBcy91Xfr168fBBx8MmBgIZX2JkW+++WagM/cZkq3L/r/bFSfQDZcIU2mCvXv3Dpz1uqgKZrdRTWXPah52MA+jXCjarLQRKaDl2WefBUwI5ODBg9l9991Lvqsb/eKLLwJGrdAPwg5p1PHhB8QOl5Tby0aSa6Rxx44dC5gHUmtQQIREZhnydO6llloqCJaYNGkSAEsuuWTJPHW9Ro0aBZQGnFRCvQKAzjvvPMBsNHKjtrS0BJVytDlpA9Y9PPbYY4HqqpP4oBEPjx6KmjOzLTLoVbu8di4xSf/+/YMUwMmTJwPGiCSRVuKVXV4lrsKnXS87r4qLGlc7tIIgNt98c8Awj8TNXr16BamOkg5USkahjGussQZg3DViZiUvaH3t7e1lxiAxhF5tpGFmMZMkpQ022AAw6o8Y2w56+frrrxk3bhxgpAzbYKhUR7lqsiS+1CtZRqmoSl195plngmskiUNQGKoCa+oJz8weHg2CulfntFlUu7pcEp999lnAUNJL9L/YJ00onJhT54lrupYG+r7S47788ksAnnvuOQD+/ve/l/yv9fXr1y9ga61LkobcWdLRbDdNnBvPLuHjSh1Mcs10jFxlcrsJNiPavZ+KxWIgef3yl78ETOin7ARye6VJJulqaK4333xzEPKpAgaSLJUklAd83WwPjx6KLu81ZTN1R0dHoF8OGDAAMLudmCKLC8kuY1qtRVSMqCAY6YBiROlMkiJ0fGtraxCUIGZWYoWS4tMU7hOkw1XqPZUlmaSSbhpVGlbrPvDAAwEjVb355psAPP3004nP75pztR6JpLCLZLz55puBJKYCDQp+USJFHvDWbA+PHoouZ2Ybzc3NgQVUOooSLLJYL11lTKuFmFCWaL26ICvuiBEjAmuwdneF/FUaIwppJY56+Wi13hVWWKHk/XPPPRdIVmLZRi07hkZBz+Ho0aMBeOKJJwB4+OGHg/BNBYlI8lBZXt3besIzs4dHg6DbMXOhUAgshNdccw0A06ZNyzxeXn18qoVSJPfcc8/A0qtUwmrWZyNrKGDekE9aeq2ixuSHzYIka8ujwITuz3XXXQcY9lVTgkUWWYTtt9++5Hzy6ythRKmQeSTNJIVnZg+PBkG3Y+b+/fsHusppp52W27j2jp22jGm1kD96gQUWCPRcpdFVg65qqlYJik0WJIXEtZtxIUuZqizfkS3j9NNPB0z5IPnKpRe3trYGZa+kI6v4hgpUKr5AqZ+ydqeB9zN7ePRQdDtm/t3vfhfoKHnqG13loxQUw9vS0hIkvccVeK8WXa0za72SgJI080uKON3Z7mUtyLrev3//wBItS7tirhUzL51Zr4oD0PdefPHFoCiB5rDNNtsAhqn1DKul0l577QXUNp7cM7OHR4Og7i1dK2HGjBnBjlhL9pT1sa2trSYtXUNjAqYI4YABA4JihksvvXTepwtQj5aucVDLUpVWtkvxVAM7A2vWrFkVW7pKUnj66aeDOWkc5V5Ln5fNRhF6upaK8nvkkUeC91SM4uqrrwY6fdBgrNrK9BNzp1m/6x46j088soeHR7dGrkXwm5qaMutEGru5uTnI460l6mUFlj4m33l7ezt77713zc+bZ3uaLJDOqPMpAy4PZrZb3UR9ZkPNBY888sigQor0WUWlSa/V//b4yhU44IADgvMo0kv2HeWcq8KMKs9Iiqjl9U8lZhcKhWJ4IrUIr3v++ee56qqrANMRME/EiWh5iqASkfbbbz8A/vjHPwKdnQ3k6sjipkmKKDUCjBjq6muU10OmpBj1X5ax6d133616bLv+2rRp01LdQ9cPSuMpwEU/XiWNaEMCk0gjl6NEdYUPS0TXpqYCG3b4bXg+rnW2t7d7MdvDoychlZgtsUNJBnmKChr7oIMOCkIfa4mobgh2+Zs8xlcJIDHS8ccfX1OXlFApjNX+PE/xr0+fPgHLKaEiSxJJJURVWE2yDtdnCuzYaKONACNCi5nDDOqSZHSMxhKDu44Lf1Zt/WzPzB4eDYJUOnNra2sRasPMQqFQCHakvIruRUG63JQpU4Ltr6WlpZjXee1+1Ern/Oqrr2q6LkGsFbYJQLnrxi60mEdQQ0tLSxC+efnllwOm1HKeUPHEr776Klijbdf5PsG+FyqK8M0333id2cOjJyGVziwLqb17i2nCrqmkOlhUMbhKY7h0iST9iXQeMXMYrvK0YRZzncN2l+h8X3zxRcn7cfO3P09iYXaN5erDZHfLsMsMVeNeDM/pzDPPBIxEYpdvivpOGHFz0Nqi7qEsziq9FPXsuJ4nV6eOJHDpu1kSPjQPBU8lhWdmD48GQSqd2cPDo/vCM7OHR4PA/5g9PBoEqQxgffr0KXFN2UaNjo6OxDWoahkSKjQ1NZWNrzkrMOWLL74IDkjiektr2Is63u7UaHd1DF/PtOuT8USx4JMmTYp1TdnzDcOuyuJqPRo1r6T30e6VFRXuqM/0nv6X+23q1KnB5Hv37l2EciOW1lAoFMrW7uqHZhukwrXdNQfdM7sWWPh84e8qYMhuTxt1XrWJ/eijjxK5plLpzJUehO+D/m33Z545c2aX+ShleZXVUkH61bQBFbo6BTJPuCzFeg3HLrue0TzOKyR5Pqr5Tdh+5hkzZng/s4dHT0IqMbuW8bz1gi3WdSVUYkYpkWqm5hENO1Ygqiij/V412WBJ4xvyhs6bNobfM7OHR4OgKnqKi9TqrqxdjQ6T9fuu8dRUTfp7njHb3e2654lws3nXZ1kYudIzmyQSL8+88LR6v2dmD48GQaZKI3HoTowQp+PIhTB79uy6W7NVyE/tTRW/LB06T/bv6OjoltZs5Xsvs8wyAHz44YeAyR2Og/TiKGu23ItJ4qvzlB7tpvcau5rc9bQF/TKJ2V1lGHBBi9YDolItffv2DR4SW2TJw/2TFepyYNdnDqVlds3EcoSdJPCzn/0MgH//+98A3HPPPQCsv/76gHmm1llnHQBeeukl59i6l1E1wOzUzixFCrJA5xVJ6NXuPx4F11x9f2YPjx6KqlxTld6vF1R4bYsttgBM8bypU6cyZMgQoFzc6UppQiKgbUBU0Mj3HS0tLZx44okAHHLIIYCROm666SYADj74YMCU1Xn//fcB0yVy0KBBQOd9S/N82SmQYsQsz6iki+WXXx6ASZMmAZ1dO11RZHaEV1wkoP1dG2n7oXlm9vBoEHR95EQKaHdTpz3VQpZrZ9iwYQDMnDkTgAkTJiROhof6SRhiHc1t8uTJQL56fFdKS0svvTTHHHMMUK47696IicVkKj+sHk6HHnooADfffLOz1nbUGmVAk86qY9K4/fRsnHzyyYDp6Kh67nEuI33mMuSlMbp5ndnDo4ei2/SaCjOlXdpGXSFGjRoFGGYeN24cYBh66623BmDLLbcEOovIVdJHwmb/erhtCoVCoEf+/ve/B2DXXXcFzHryRLFYrLtraubMmWWMLKlDUpTNbvJEyE2n+7bYYos5rftR7jcVZbRDP+NcRDpWxRcfeughwFjLV1111ZI1REHztzPfNIY8LJJMkkhhLveiC56ZPTwaBF2uM2sH1644d+5c1ltvPcAw8B577AGUO+JXXnllwPhtlaiQpAVKLfvkxqG1tTXoMqh1qHdxPVDLMFt1egwXp1cxePmTXdddLWGUAKNrk9bCH5UP7cJyyy0HlD8vKgus58tm0T59+vC73/0OMHYa5Y/rO2o9JF3dljhqAc/MHh4Ngi5jZnWpl9VT+uKECROCXsa77bYbYHRnJWvLlyiWueWWWwCChnNJ0FV+5gUXXJAFF1wQgKeeegro9FvmjWoS67PiiiuuCP4WI8seoHuqtjUHHXQQACNHjgRMozXhmWeeAeJ1yzQ+2zA0h7fffjvyc/VyVmqqwm6vueYaAAYPHuwc+6677gKM/aYaCdBbsz08eijqZs0WU6y55poAQfsS6bmPPfZY2bE77bQTABdccAFg9BLbd6gIsDT6VZSlsNL6oupHpT1f3759GTFiBAD3338/0NnGNm/UM9FC3ge1LW1paQl6Hd93330ArLbaaoBhXFeB9wkTJgCmeVu47a2t72e5h1Be7D5PKU3Px8UXXwzACSecABgbgJ0AElcvzVuzPTx6KOrGzIqbfvjhh0ve32abbQB44IEHgvfks/vggw8AU6VQPrpHH30UMFZuxeEmgR0rG/YzV0qBrKZ1i8637LLLcsYZZwBw+OGHA6aFTZ6oJzNLh1Sk1KxZswIr78YbbwwYCcxuASTpShLbK6+84jyPi0HTMrPGkb1G+rtSU6Pa/WaFnhfZDOR5UUx6+Bj72dK1amtr88zs4dGTUDdr9v777w+UZ4L89a9/BUxmSkdHRxDBpWR96SGybO63335ANka2k8fDqKWlV2P36dMnaDyeJBE/b+TpZ9ZY++67L2DuT58+fQLLr/yu9n0fP348UJ7PHIckNdnT5DGfc845Ja+usZR5p0jDjz/+uIxNZROQJXz06NGAeYaVNbbooosC0c3n7bm7Ghm6UDcxW+4ABc3bXe/1g50xY0bQsV7BFRJJtttuOyA+cb0S7AchrYhWLQYNGhT0LL733nsBOPfcc3M/j6tKRZ7VVKTmyCWoh6+5uTnYqCSySkXaYYcdAKMqVYOsBrCuwNChQwGTQHLdddcB8Oyzz/Lpp58C5eK2jITffvutF7M9PHoS6sbMYgoZHY499ljABKCHzhG4J2QcUSraE088AdSuRlY9dvVevXoF7pmBAwcCBOGrCiOsBrY6Ea6P9d37VTPzAQccAMCll14KGFdPeEwFWtx9990AXH311YCp9ZUnwskk3ZWZBRU4+OijjwD45z//GSTc2G5PhbbOmTPHM7OHR09C3Qxg2nXOPvtswBgdxMwrrbQSAEceeWQQ7qiib08++STQ9eWJ8sCcOXO48MILARgzZgxggmNchpgkcDU9s1HNNVQ5ppNOOgkwjCwbh3S/hRZaKDj2jTfeKPms1uiu9doFFTiQy27cuHHOQKS0ddQ9M3t4NAi6LNFCO6fC9RQYMnv27MDBLmauRbpiVyVaNDc3B7WiZf1ddtllM49ntx2txbrkRTjllFNK3pf+u+mmmwJGH+zo6Ais2EqKkTW71uiujCzYPc7ibAhp76VnZg+PBkGXMbOsrWussQZg0ss6OjoCi3ceYY4uHaqrihP069cvSP8UW8lvnkXfs5t5uxqjZ4HGuvHGG0veV0KLwjjt4Jd55503SLrQGLKDhBMnqkUWKaRQKLDAAgsAJnCjHg0RxMi6diriqISMKPhSux4ePRR1Z2btNvvssw8A5513HmCivd55552ACapll/DO3dUtdGS133XXXdlss80A44tVcYVK65VeHJYqbAlD/6fd1aOg0ES7cIBazbjCUSdOnBisV/M56qijAIIkk65CsVikf//+JXM57rjjgNLkh2ohJlYYp+wiKh+kDqBxIb2+C6SHRw9F3ZlZu71S4hSjraivYcOG5arPVkr8rhcUYH/ggQcGzPD4448D0UH3UUjTBC2P9W2yySaRY6kkjpIlVM5JrBOG2G748OGAKaKnpH0l6+sapLn3WSS3YrEYRNp98skngCl+oXhxlXF68cUXAeMjj/L76tpIejn99NMB+PnPfw6Ya6Ix77zzTsDETsTBW7M9PHoo6sbM0uG0+6ksqwoQKKskz+J29WrnmQSrr7460FlQXXqSkvmTziUNa+XBzPPPP3/k+7/97W8Bk9YqaSuMsWPHAiazSnOXJV9QXLpYXkxeS2+DGFZpimqyoBY5ehaVtSRvgyLdpk2bxo477giY9Ug6sePU5Ufec889AVPWN4lV31uzPTx6KOrGzNrlxcjauRSnXItys3GIYq5axvWq4EJTU1PADNKZa4E81qAmbipGp7K40gNlsbYLLA4ZMoQXXnghcky7CdwjjzwClEdGhe+F675klT40jny+Wo/yBhQ/LcljrbXWAozdI9x+R2OptLAkiiOPPBKA22+/HUjXjibrc+iZ2cOjQZAqnzlLLqx2GRVDV7Nt7eK2P7JeiKrE0dzcXKzVXGTdPPPMM4Pys9LR8ohAsndzVy5sNfm+ire2m8Xngbgsr0oMHM5Jt5/ROJaTfisoVl7fkS1Az6ju06RJk4KSVXZJK1dxPhthFraP1f+uajHOMWtdnEDVCFXpX8YGiWGqAZUn4up7VVOdM485Lb744kEoXy0TSPRgzp49u+5dILMgyY/ZVQMs/GNOsyHbBqakP8RqYM897lkN1ff2xQk8PHoSamYA046jYHyZ6OUsP+yww2p16pId3CVm2SJWraHzK00QynflpKJZ+DgXa6Wt7FhruBJAkqw5TeBPEla1r5H9HbvHch6IKx4RKvFU8h1vAPPw6KFIpTOn0Ue088hoIoOMdp+uqBkdRr0NYHFIy9BJoCAGu0xrvXVmu055mv7JlRBVlLGlpaUI8SV3bCnBJb3VQneOOrf92xAkPfqOFh4ePQypdGaZ6O1OEmFTukv/sLvfaYdKw/JJnelxOqUQpTNrfXaJm3Dif1qLp81MSVwk9jWxWS38uUsXU9MBG0pssSWjOPdP0rWG5yB9VGWDxD4KDtI11atLOonTme1AEzD3UEEc9twKhULZ9dQ90rXRnPR5XLfISm6lSoUVw8xsW7HtRhGV4JnZw6NBkEpn9vDw6L7wzOzh0SDwP2YPjwaB/zF7eDQI/I/Zw6NB4H/MHh4NAv9j9vBoEPgfs4dHg8D/mD08GgT+x+zh0SDwP2YPjwbB/wPA2jut9LRWkgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96f55bcf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750, D: 1.247, G:1.081\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb97b11d9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1000, D: 1.222, G:0.9381\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb96f55bf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250, D: 1.263, G:0.8928\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb976db8ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1500, D: 1.121, G:0.9573\n"
     ]
    },
    {
     "data": {
      "image/png": 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lS5dWxjp9Voaf//3vfzWRNZUkbYVzluI+9a9z1D0u5V4Xeg/yGfj0Oxlp58yZ075is6tFOIi9Vv3ofnG4cFpf1Fij4nrr6R6m5WcuFHmV9PMRdT69zD/99JP5mQ2jI1H19jS1hLZt/pa1ElvqOLTnRPtK05af2v+bdjNRW+M0noN8vnKdX3EdRR8rkREZhlF1TDKH8A17tSL56qEtTRokdX8kHf2IQv3ez6ZLotCimD9/fqThLW4Eoklmw6gTaiafuRaop3nV01zKoZjr4Nsg9K/cl5LYKkKZpGTOZDKtWvb6rrdisZfZ6PBE+ZmFnvc5c+bEPrZ6Uf3f//0fAI899hgAX331FQDffPNNsJgoGUVVWq3XlGF0UGIFjTQ2NmYhfYOMViTVl9YYVZZG9bPVJaIcrDpn8uccMGAAp512GuAKPTz77LMAnHvuuUBOIiVFWvfQN4zJIJXv+ddnVfbqrLPOAmD99dcHYLHFFgNcSqgYNWoUQ4cOBZy0loTOF6XY5niL+ZBhGLVPLJ25HF1ZoWlrrrkmABtvvDEAffv2BWDFFVcEciubigRotdNKpX9fe+01APbee28gGQldKhqrxqbyOFqB/UCETTfdNChDe8ABBwAwY8YMwEmtDz74ACjvelfSrvGrX/0KyJVJBlhuueUCaabroB5T6myoTha17HZT0IbuqWLiF1xwwcAItsceewBw/vnnA+558PVg7UT0swoRdOnSJbhX/rUw15RhdFAST7SQBJJ+u9ZaawFw1VVXAbDRRhsB8UuigJM26tJ35JFHAnD33XcD1ekCKX3nmGOOAVy2kiySGpO6coTD9woF9D/00EMA7Lvvvhpr3OGl0mtKc1DXSvX8kjSePn06gwYNAmDcuHGAk26HHnooAJ999hmQ6y32yzhLHk/SOrPui3aP6o+l3tLhvsm6vyolrO9KcqvL6YQJEwC3Q1GfsUmTJgU7MR3LDzf17R5RmGQ2jDohtRTIJZZYAoAbb7wRgO233x5weofv02urOJvGqNVMne9VYL2aq7qk0QknnAA4KbX66qsDzlZQTPE5f0WWzjR27FjA6dhxdKkkJbPmMHr0aMDZLDSeM844A4DbbrstsAOIbt26ATB16lTA7dyWWWYZoDzrdlKSWTqyeofr2d16660BN//p06fz5ptvAm4em222GeCkq6StrPhjxowB4O233waczzqsJ0cVZTRrtmF0MFKTzJIuf/7znwHXUd6PalluueXy/j6MfJXSt6V3JGGxTctH2b17dwDuuecewOlfnTp14qOPPgJyvZohpzeBs/zKvjBw4EDArfaSEK+++mrR40hCMute6vyyUUj6qJ92Pq+Cmv+9/vrrgGscp3u30korATBt2rS4wwoo9R76YZOye2h3JXuPJKT8wDvssEOww5Cu3KNHDwC+/PLLFp8VsmLHeWZD4aMmmQ2jI5FaCqRWoJtvvhmAzTffHICddtoJcFbftiy60idkGTz44IMBeOCBBwC32tdiozetzOohLWt2jx49mDJlCtDaeikJIQuoftbfpXdWGumKPXv2BODee+8FYMSIEUDrmOVOnTpx0EEHAU7vlJQRsmZrrtXAL8N00kknAe5e6R5qJ3XyyScDOduN7t0XX3wBuB7hOmZU0f84xG2TZJLZMOqE1IsT9O7dG8hFPkFxElmr3FtvvQXAkksuCTidRnq4Vk75Kq+44gqAQPK1FV0Ut11mqWillrU2n9VWEnjllVcG4A9/+APgxii/ur/aZzKZwFru/60Y63mxaOfzz3/+E3C65Isvvgg4vdGPdsuHrsf06dMTG1+5aNzS76Ujy3vyxz/+EYD3338fyM3Pf7aSTIsUcW1CJpkNo05ITTJrdZZf7aabbgLglFNOAWiVkC0d5MMPP+SJJ54A3EqpjBNJH0l3xXMPHjwYcCvofffdB8CgQYMic1CTlFylojEMGDAAgP79+wNOZ9M1eeSRRwAnofX3n376KZAIuo7axaQhKaQfaick33pbngjpxorb3m+//QDnn60Fe4eekZkzZwIu1lx5A4r8UrRfpXZ1cUm9brYeWLlq9DIr4EAO+u+//x6Ajz/+OEhx1MM8a9YsAFZddVXAGZUU1B51cb/++mu22morwKVNthUqV+kUSKXLyaCnRUtbZxmH/vrXvwIujFDXbpdddimYZJJGOKfQOHUfwokI7733XovPjho1CnCBL3Jzvfzyy7HPm6ezZiL3UAZGuQrlbpIhSokwY8aMSdQ9GoWFcxpGB6ViHS1kVFh77bUBuOWWWwC3LZRUmjVrVtBy5dRTTwVcQMEOO+wAuNVdxQu0ZfOZN28ev/vd7wC4/fbb/bkA1ZHMMiDdeeedgDMSakxa9Q888ECgdUpknPJNaUrmYpBKpJ2Xtt1SkUohLcksVlhhBcCpa+uuuy7gdoozZ87kvPPOA2DkyJHlni4Sk8yG0UGpWN1sGTpkxHnppZcAZxCRQayxsTFI/VMRAoVCHnbYYYDTZaSz+VUVZajZZpttgmQMn0oXJZSRqF+/foHdQDqwjFVvvPEG4BLetUPxaU8FFf0wTYVKlkJUfemkUUimDJOXXHIJ4BJ8VlpppSAYRsZXuV6riUlmw6gTUitOIAp1KVTyxIYbbgjkVnJJbVltr7zySsBJYr+OsZA+ptJE0tPaIq3Eds1POqPCWYcPHx6ERUoCHHHEEQA8/fTTQLKldKqlM8uto3upeyEbSSmFJKK8FknpzHqe5HlZaKGFAHcvVS73wAMPbPXsKbRV7rpy8J+h5uZm05kNoyNRNcmsz+28884tfp4xYwbrrLMOADfccAPgLOGSWL7upFVfVuE4oYJxJHMmkynaoqzdg8rlXH755QAccsghwaoua710sjSK21VDMmcymSAUUruQYcOGAU66lXpcaDtWIE6PbT1X2vFprPKBqwCBUk51vuWXX56//OUvgAu9FQp0mj17dpypAe6Z8d8hK05gGB2M1P3MWmXkX1Z7DpWL8TvsgVspo6S8wjrlf+3Tpw9QWvuQsORqamrK+mMJ07lz53Aplxb/+kgia2yPP/44kPOJf/rpp4BLzE/TOl0NybzUUksFHgWhEMkkUx7LjRWQPUPPpgr3Pfroo4BLrPDPF06WkcdBcRKKeYjzLPrdJvOU3DXJbBgdiVh+5qiVo63P7r777oArGxtlkWwrWF+SUvHV0rM///zzYoZdNIXm1dzcXDBhXPPWzuOiiy4CnKX0u+++Y4011gDal7+4GFQQb+TIkcH9/Ne//gWkI5GTOo7ixmW9fuGFFwBncVfsebgUkOanv+lelmKlF343yriYZDaMOiGWZNbK1Zb/1m+gdd111wHFr6Zz584NpJ/0DhW7V3ZRWmlzhVbEYnYkksDHHnss4OJ6pVvts88+Jen2tYzurco69e/fP3hGttxyy8TPl9SORhZn2S6EYv9lzVbZYN3/Xr16BSm9+t0rr7wCFP9shgs5+PMxyWwYHZxYkrmYImVaVT755BPA+egU1+oXqdO/aiQ2atSowOKtuGqVAWoPyJq57bbbAs6Xqbzd8ePHV2VcaaJY+UsvvRTISRuVeIpblK6SSKpKQstHrKKT0p2feeYZwMXMDxs2LPBIyAKughrVbPZnktkw6oTUm61LMqlahh/FJYklHWLChAlBZlUapW984viZi0ExySqtI8m0ySabAMlb4AuRpp9ZflpJKVUaGTFiRFCWthKUG18vW8yee+4JuGYEsnPoX1nrx40bx9lnnw04K33cZ7WtslX+O1JsPnPFihOEjgG03lKEJ1fJnr3hB0GLla8CFIPUh2uvvRYgKIogN9pTTz2VxHBjk+bLrJdYyfwyenXr1q0iRj5d83AiQinzU/qiClhInZRQEcOHDwdygU+an1xRcZ/ZYiqYhn62oBHD6EhUXDLXGuFVzw/Sj5MErxBU1fpWDWxtzaoVIOKv6nESEaJQ0IvmqmP95je/AVy5nbRoK0WwnJDjfKHF1cTKBhlGByWWayrtci2VJJ/OUsq8dBxJYJVpPf3000s+ZpokMR4V4zvxxBMBJ6Gfe+65so9dDJpDUrYVHa9WJHKpmGQ2jDohls680EILZcGFWeaT1Ems/H6StlbMco7tS2LpuOHet9InhdIYJQGam5tbWbr9IgQKeVVx+jQt8+E5+dcmn6X3l9/Hdi/659Nc5XZLWlJGnVf41z48xy5dumR/+R3QWg+u1E4pqpBCKR4SKxtkGB2MWJLZMIzaxSSzYdQJ9jIbRp0Qt9JI2QEHUcQJb0viPDIuhCsfFjIO5cs9TXJMhY7tX6NMJhMOLGjxt3zzg8L3MKk5+tdZMfpLLLEEULjySPj7UdU7QsativYLa2pqCjqSqpKOsv7UwlgVVspxd4XqzRVlAIv1MqdceC61Y+c7T76LXMgam9YYiz1unCT2qLkUOldSc/TL6OhnP97Zx1/Y2irDU8kY/jDZbDYovqEiFCpplWQBjbgliGybbRh1QsUax9UaZsWvDNpm9+rVC4BrrrkGcIUOVW5H5W7VpH3mzJkVHWccll566WD8arejbXahnUeamGQ2jDqhw0rmpKlk3LoMP9lstmBjPp9KjVNF4e+55x7ANc5TAQOVVRKvv/56i88VQ1Ild+MyaNCgwJCnMbz44otAcaW10sIks2HUCSaZSyRNqaDY52222QaA5ZZbDnBuj48//hjItUkp1JjPpxI7h65duzJhwgSAwIWjsjqy8vrx9yowH8eCW2m7hwr+HXHEEa3yBlRSupq0i5dZW5pZs2YB5XUNKIfwC1LqdrWhoSEwBqmXr+pNy9Wiraj8jDqXEhv69+8PwPPPPx9/EimgLf1mm20GwHHHHRd0VNS2c/To0YAzgMngdddddwGlVfFsq45Wkih5Rv2ze/bsGdwT9QT3e2tVA9tmG0adUHOSOZPJBBJp0KBBgOvpu9ZaawHVk8xh4nYhkLQdMmRI0NtXBQ2i0uV8lLZ52mmnAbligVHnrUSivapzqgPE+eefD+T6L+n86rGtap2S1CriUA66Hmmh+3DooYcCsMEGGwC5HZOuuyK9pCakEa1YLCaZDaNOqFpBP+k70kfUv/e7774LOgzob8cddxxA0N9HgQVJ0FZBP59SSg2pxM5rr70G5PT/sGsJ3Koud476VUm6+bqzrk+/fv0Cl46PpNbPP/8cq9RunNjso48+GoChQ4e2+P3rr78e7B5eeuklIJ3OFrpO4QITST6jstW88847gDNEgrsHqpMu42SSWEE/w+igVFwySyrttddeAAwePBhwrovzzjsvkDbSKSdOnAg4d8Yqq6wCJKOflNsNIUqvkY78/vvvA65fc75i/9K7pF8+++yzgLsmt912G+ACLcLuHPV58nXkfBlFv3w3sUYG0ntlmdbO6bjjjqto8ES59zAKJVGo+H24BNFBBx0EwIMPPhj8Li2sCL5hdDAqZs3WqiYf68033wy4FW3YsGFALlBdnznvvPMAV1BeEuGcc84BXDnbpCjFd+wXUNdu4qSTTgJaS+S5c+e2Kkj33XffAe6a+OdXB03NV327Fl10UZZddlkApk+f3mI8OnYaqNOl+hrLu3DVVVcB1Q1pTAJZ6U899VSgtT/7mWeeCbo+1lJ5XpPMhlEnVEwyyyIrK6cst2o+dvfddwO5jnvqj9uvXz+g9cqonrhJS+ZSkBTVaq75HXnkkYAbu/TjyZMnBxbusWPHAnD44Ye3OJaPJN0FF1wAOKmfyWQCyS/JLNL0wd5yyy2Aswu88cYbgAszba9oV6OotG7dugGt78tLL71UkcZ4cTHJbBh1QsUksySXrNjSs2688UbA9S3OZrN89NFHgPPz+SQRPZSPUqzjmpeiuuR7le4sZJm+9dZbuf7664H4iezyu0tSL7zwwoG03nXXXQGnw6UhObQLUB9jXS9Z29PwJVeSpZZaCnBteP0doXZXEydOrIkoRB+TzIZRJ1RMMu+xxx6AS+9TuZjLL78caBntJP1ZerbP1ltvnepYi0E66f777w+45uq+RJb0Ov744wECqRwH6XIbb7wx0DI2XdLE31WkkaKpXYfmLkk1fvx4wO0+2iuSyH56puap+Y0fP75qxQTbwiSzYdQJFZPMasQtvUolSbXaKc52zJgxgZ9Zq58hXjqaAAATz0lEQVR0REn1cIxstVAhtwsvvBDIFXnLh6KHSpHIQpJihx12aPHz/Pnz+fe//x38P0yS/k/tkH77298CTpdUK9dXX301sXNVA81HWXp+7Pwnn3wCwBVXXAHAjBkzKj3EoqjYy6wLoy3awIEDAVhnnXUAFxix7LLL8v333wNwxx13ALDPPvsA0L17d6A2EsE17kUXXRRo/QB8+OGHgOthXA46tsImFbQBzr2VJquvvjoAK6ywAuAWij59+sQ+ltSQxx57DIBNN920xTE/+OADAO677z4gF0yUdkURGTG32mqrFr9XMQypUHLBtYXulZ7vSy65pMU5lJCx/fbbA/Djjz+WNfYW507sSIZhVJWKSWYZSZQsoEIDSpqQsWHatGlBtwDVIlYLEHHllVeWPZ58BqJiwjm18soVJPVAyDil+l1J9JTeZJNNAHfNtO1tbm7mhRdeKPn4xZ5fQSqau9xempt+LyPn/vvvH2z7/cQaSSj/uzrXeuutB8C6664L5OZ67rnnJj+50Lll+JIaJ+Qi1W5BiRcHHHAAZ599NgCPPvoo4AoXPP7444Cbp/+cqbSSUijnzp0buGB9V6UVJzCMDkrFUiC1Cm600UYAbLfddoDTf+WOCiciaGVScvhqq60GEBSLU6BJHPzVLpz43alTp7zzC7uCtOKqQMLyyy/f4rPTpk0DXBJCKUhCqPjdvvvuCzh9U5J5/PjxBXcAfvpcKfdQxkvZMCR15ZbTvb333nt1juC7+qzfa+rWW28FnO6sOeuePvfcc0DO2KedmZIbRLmN42RI1LyU1ih0j5988knAueYymUyQtqp788wzzwAukSgOujZHHXUU4Cp9hiqAWgqkYXQkKqYzh0PhwFkGtfrkS5vTiqWuCEOGDAGcPnrnnXeWPJ5i9JF8gQFyiy2++OItxigd6JBDDil5TLKMjxs3DoA111wTaJ2soXaoQ4YMiV03uxSkFwqN57LLLgOcDh0+p6zTstaOGDECcAUMVKJWn9M8dF3DARtRrq9yAzf0fenEPkq9VQENjam5uZmLL74YcK7JqJ1YVOFHuWjHjRsX7EqU4FGqncUks2HUCRUvteuvTMUUMpfuou/svffeANx///1AcsnwfqBFvhUyKsD+22+/BVxxvmKQ7qt0yTPOOANwIZp+OKH0cX0+qphf1NhLRcUT/G4U8vv7evH8+fOZPHky4Hy08q9GhXxKOikwRdJ+/PjxfP3114nNJYzGqz5RvgXet26LxsbGYFdYqAiEv0PS8yPJftZZZ0UG+MRusBDr04Zh1CxVL4JfjN6jsEH5dOXTSzqZIFywLQpZYxWlpmgsWZolxaKOvdpqqwWrufStLbfcEnCWcu00FC0nibzLLrsABCGcbY0zyWuj88jfrLJNmqtSI8MllOSl0PVRnyYdS1JPIaqyFCvKTd9vywaR1ByfeuopwNlzlNCi4/vnyWQyRZdl0nxV2FH+9qlTp5Y56taYZDaMOqFqRfDjoCQGrW6STFrVFUMbh3wFxpuamrLQtsSThHnzzTcBV+ReuuDDDz8MuOLvKiigqLa+ffsGVms/lVDzUOSbdMU//vGPgJMc+e6ZHxuun5ubmxMvtatYARUpUPugcKmiqOdKc/Wj7WT1njlzJuDm/M9//rPV7k3f1U5tzpw5iZTaVSTWmDFjANeYQbEEUSm54XlorErxVeueUmIiQsc2P7NhdCTahWSWfiJ/oyLA9ttvP8BFC0Wt+vnIJ5kVAdZWSRgVsVO7GY0lSofyV+xMJtNKik6ZMgVwEk6WXxXpkw4dR0dOUzL75zjllFMAgnjlpqamgv2hZf3XDuahhx4CXDSWH/+dD13z8ByTbNQgfV/FMBTDPWnSpOAz2j3pnsm+kWRZIZPMhtHBaBeSWUiPUrF16SUDBgwAWrfVnD9/fvB/f5754noLNY4DpxeqiJ2i0fK1n/HHAjndUPqhkt6Vr/3ll18CyRTGk343d+7c1CRzFJ07dw6kpiLmpN8qek12gVKb1kP+5njVfkbTwCSzYXQw2pVkllXbl2DKYFFTbP29ubk5kIh+lFI+fasYySxJIiu2rNWKypIfUTHG0nMlkYYOHcqECRMAp29Jfyx0L3Ru+Wiz2WygT/vfraZkrhTy7f/4448mmWlnL7MeZoXfqWyNXlSlsClR4dtvv231Mgs97Glv0aJqL5eC5q/tZadOnQJDi15qfUbzC/cu/uXv7fZh94M48s2xPc8vCttmG0YHo11JZqFgEaVGqnjejjvuCLgAhHChA7/ggbbZ4W1orczP7yypsUoi6/c///xzK3eckMFp1qxZ7V4y+24/zV/X44cffoilKtUC4ftVKI017D5tC5PMhlEntEvJLKkjSfzII4/EPkY+11RjY2MWyk96L4Sv+/khmCHjXIvP+Z0WGhoaWrmxZHCT1PJ1ZkkuUS0JVqxLKpPJ5E10APcczJ49u+Z2V0mQ7xlt8/OpjsYwjIoRKwUy3EmhWJJc+X3dSalrUWQymVa6sv71e0KBczNJ5/YDPsLfj0pskGT0rdj6uXPnzkHgvn6ntEq/6J2SNzRv/1xdunQJUjH9sYYL5YdRooi+588rfL8K3Ttflw+7//Q3/et3pYwK5hH+LiX82baKB/j3pdi5VJpwiWHfbSqKTbMMjpnM0AzDqDaxdGbDMGoXk8yGUSfYy2wYdUJcA1hFXDdxiQrzC8dm++SLXa6EWyOTyQSGNvVTUg1xGc+SqDYaFZsdJ/7cNx5G/ezT0NAQuI3kOiu2xWy+Y0flRufL2Y4zP//nqGelrTEloab6xj4dU9cwHBTTFrFe5lp7iYVvGdUD1NaFTjJ5PA7ZbDYYn8oH6UFPsqdy1PyKefgKWYILHWP+/PmtrNfFku/YUefLd72SmF85YyqFqPyBfB6XtrBttmHUCVUvtZsGtW6hl9RU2mSPHj0AePDBBwGXuG/kiNrSJl1qudD5Ko2a2xeLSWbDqBPqUjLXOlrxZQBTq1q1OW2vyOgWbqKmhuVxDWBh6ehL4LQkZlT0WJo0NTUFOzW/kKCKRxaLSWbDqBNMMlcBlT9Sy9BJkyYB1dfRikWSUsX6NH4VNQQ3l1GjRgGugVwhL0K+a1CobG+5VEryh8+l1j4LL7xwcL6PP/4YcNdMxfiLxV7mKnDqqacC7qFRz6laZ7HFFgNcj+XddtsNaJ3w0NzcHNTDls9c3SJmzJhR1LnCL5S26FH+7nLxt/blvNz6rlSo4cOHA7DddtvlPXb4d926dQNcny3VhisW22YbRp1gkrnCNDY2ssceewAwe/ZswHXkqHU23HBDwHV2UPCLOjjefPPNQEtJphJPSdQCT2v7G1V6SRFZ/s6gsbGxlapxww03AK6OerjvVr5jhxk7diwAv//97wH473//C0T3h47CJLNh1AntUjJrxTz55JMBOOywwwDXE0h1s2uRxRZbLNCNvvnmGyC6p3Ma+O6XONJOOwl9Z9999wVynRqjkI7sF0OoRfxrIReRpKr6gt97771BXXQ9i+FiA+FjqTa6jFkyfo4YMQLIFaNUZxMfFacoFpPMhlEnVF0y+2VTN9hgg0D/6N27NxBdatVn8uTJACy11FKpjDUJLrzwwmDFV++sJLKkiqWcZBmVHFJZpZdffrngd3Svkij+7z8HabvyFASjnd9pp50G5HZX0qMleTVGuekuuugiwF0jf1dTDHHnZ5LZMOqEiktmpf2pF/FRRx0FuNC1tqx+Wg2ViKBj6Tulpt1VAkm1vfbai88//xyA+++/v5pDis3qq68OuDzbqOKAYdRjulQpGn4efOmetmTWTuDiiy8G3C5j6tSpgX1GElfPpooxVgOTzIZRJ6QumbWarbXWWoDzRa633nqAW+XDVkCt9IoievrppwHXl7lr164AvPfee4CTENJXapFHH30UyHWHPOWUU4BkixFUAllwdb1V6lh+588++wzI3UPpm4r80j2Vv7nY4hBxSv8mjXaNfonpTTfdNHZ0VilYqV3D6KCkJpm1iu+zzz4ADB48GGhtodZqJ9/w0KFDg9hf3xcqKS//psqqSMKde+65aU2nZGRZ33zzzYGcJXj06NFA+0msEPKH696tueaaALz99tuAs9x+9dVXbLbZZgDMnDkTgD/96U8tPlvL6Lk66aSTAHef3nnnHcBZ89MmrgfAJLNh1AmJS2bpvrLyqe2qdMYhQ4YAMGjQIAAef/xxAA4//HCgpR4pSaxsnQMPPBBwmSjyTSvK6M0330x6OiWj63DFFVcATppdffXVrSJ75HeWFJcElGW0VnRr6cS+xNDPisMOxwEoLfLyyy8H4IwzzgDg2WefBWpzd/L8888DzsOiMcpWs8UWW1Rk/OZnNowOSsVbukpi+T7KfPqBskb69+8POH/fGmusAbjY5i233BJw1u04ZLPZVOpmywcunVGSuUuXLq1ata666qqA0yslzW677TYA/vGPf5Q8jvD8fjln7DlqnFdffTUAhxxyCACPPfYYAJdccgng8px79eoV7D5mzZoFuF2UbCPKEHr11VfjDqcVSd/Dv/71r4CzwWj+ssS/9tpr7LnnnkDOPvDLGMo9bST+PYyiJvsza9u5/vrrA+6h7tmzJ+DCH7fddlsAJk6cWPK50nqZ//CHPwBw7bXXAvD3v/8dgL333jt4OKRqHH/88QAsu+yygNvevfXWWwCBMakUkniZVdPrhRdeAJxx84QTTgBc8MvGG28M5IyYUhU+/PBDwN0rHUvXQIbBcl7q8ByLKYJfLDLWjh8/HnBdQmfPnh3Ua9MCNmXKFKC4mu3FEirOb/2ZDaMjUfVEC5/OnTszcOBAwEkurebasu2///5AbQeJ7L777oBboRU88dlnn9G9e3fAbcGHDRsGuKR0qROqESZXSbXCVXfZZRfA7Rhef/11AO666y7ASaNp06YBucAgSfFPP/0UcGrVww8/DLhCB6+88grgVKepU6emOJN4SG1TP+27774byKl1++23H+Ck98iRIwFnPJM6UUkDn0lmw6gTakZnln7Qt2/fQEf+1a9+BbjVTYEnt9xyS2LnTUtnvuCCCwAXeBA6R2DQkhFFrieFtioRQ4ayXr16AaUl+JejM8toJb1WhjoFvcjIJVfUwQcfDOR0an1GRkoh6S7j2RZbbAE4SbbiiisC8dxxad1DH7mmJk6cGLhLhVIhx40bB8AxxxwDlJfeajqzYXRQakZn7tevHwDHHnssq6yySou/nXfeeQDccccdFR9XqUiq+cHyw4cPDwJnfKQ7y1os/bKUtLpiy9C2VVZWurD0X/0b1UXx7LPPDo4p670ks86juey4446AKyihUkoKnJHLp5bQ2Hv37h2MV8EwSg/daqutWvxcyfBVk8yGUSdUXTJL91Ah+PXWWy9YxRUCes455wC12x86H9J/hfRLBViAk1bSnRU0Iv1LPxdj1/AlbFRpJf/zxXQ8LHR+HUP6bkNDQyCZpP9LB9Y9lGVe1m51PFTfrVIlcxJliopBIcQffPAB4Hzsmscmm2wClCaZo4rxF8Iks2HUCVWTzH653I022ig3oKYmXnzxRcClOrYniSzeeOONFj8rmX3u3LlBhNtBBx0EuLKr8qPLryupVgzFtmyJksTl+EP1XUnTHj16BBZwXQdZ4v1QVvmXJVHlw651NH5Z8BULofmVGdHW4hzFYpLZMOqEiktmrTbyGSuGWdbfd999N7B0JtHSpFrI8i4LtSRTt27dgqT+oUOHAk6fVAx2OVFQhYrbJymR/WOoNNTUqVPp06cP0Dp6TTHb66yzDuAi45TwX8tFGUXXrl0D24c8L7oGf/vb34DyrNjF2DHyYZLZMOqEikeAqcDA9ddfD7gMKWU+7bzzzhVt15J29JBKssrv+sUXXwRSSGVob7/9dgDuvPPOxM4bFT1Uicy33r17c8ABBwAwYMAAwKWEqhWLvBiy/iq7ShFhcXZl4XvY2NjYImvKbxtz6KGHBpGFl156KeB2TfqMfN2KfVBjPPmQGxsbAzuO7uWVV14JuLTJJCK/hEWAGUYHo2KSWREzsvJpRZYFV82p5XesFJWK61XpWeVkg8uS8i29cYiK4JJEmjdvXosPJJnv2xY6v6y8yiKTxJWVu2/fvoDLFVZbl1Ilc9Q91Hi+/fbbID5cWWvK/vJL64aOr2MHP2tXpVJJ8jencV2LLU5gktkw6oTUJbN0YmXJSIfUeaudx1opyZwWfqSXL0WqJZmFxqGdiSz3/ji1c1P0Wz7J7Ft589kFCt3DKVOmBFFmQu2OVKZKx//iiy8AZ8954okngFyMunT/uEX9S6FmygaptIy2T7qpckHoZa8WaZWcqRS+gUeGmVp5mZOkjYCXol/mhRZaKHgmFaCiggJSd2K+E7G/ExfbZhtGByM1ySwDl5znfpdHbVkUulgtwqteU1NTFmqnTnUhwsavNoJEKu6aqhT5ttnteecRhUlmw+hgJB7OKR3u9NNPB5zLQSljZ555JuC6QdYSUat5JfSiUqi18aRBJpOpOR22kueJg0lmw6gTYklmOdPb0illrX7wwQcBV1JVpXImTJhQ8BiVQOMMo4ICUQEL4TEXWpnbKsdTLroP2Ww2Mj00qrev5u27UvKl2xUas5IoNIY4IYy61trJ+QkW+ntjY2PwN388+e6hvCP+WHTvmpqaYoda+sUCMplMcB4VndA18O+HP+Y0JbpJZsOoE2JZsw3DqF1MMhtGnWAvs2HUCfYyG0adYC+zYdQJ9jIbRp1gL7Nh1An2MhtGnWAvs2HUCfYyG0adYC+zYdQJ/w90HpsjbXA5NwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb9f2e7f6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750, D: 1.272, G:0.8121\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb9f2d356a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "D_DC = build_dc_classifier().type(dtype) \n",
    "D_DC.apply(initialize_weights)\n",
    "G_DC = build_dc_generator().type(dtype)\n",
    "G_DC.apply(initialize_weights)\n",
    "\n",
    "D_DC_solver = get_optimizer(D_DC)\n",
    "G_DC_solver = get_optimizer(G_DC)\n",
    "\n",
    "run_a_gan(D_DC, G_DC, D_DC_solver, G_DC_solver, discriminator_loss, generator_loss, num_epochs=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In step 0, x is 1, y is 1, out is 1.\n",
      "updating y = 2, out is 2.\n",
      "updating x = -1, out is -2.\n",
      "In step 1, x is -1, y is 2, out is -2.\n",
      "updating y = 1, out is -1.\n",
      "updating x = -2, out is -2.\n",
      "In step 2, x is -2, y is 1, out is -2.\n",
      "updating y = -1, out is 2.\n",
      "updating x = -1, out is 1.\n",
      "In step 3, x is -1, y is -1, out is 1.\n",
      "updating y = -2, out is 2.\n",
      "updating x = 1, out is -2.\n",
      "In step 4, x is 1, y is -2, out is -2.\n",
      "updating y = -1, out is -1.\n",
      "updating x = 2, out is -2.\n",
      "In step 5, x is 2, y is -1, out is -2.\n",
      "updating y = 1, out is 2.\n",
      "updating x = 1, out is 1.\n",
      "In step 6, x is 1, y is 1, out is 1.\n",
      "updating y = 2, out is 2.\n",
      "updating x = -1, out is -2.\n"
     ]
    }
   ],
   "source": [
    "def f_forward(x, y):\n",
    "    out = x * y\n",
    "    cache = (x, y)\n",
    "    return out, cache\n",
    "    \n",
    "def f_backward(cache):\n",
    "    (x, y) = cache\n",
    "    dx = y\n",
    "    dy = x\n",
    "    return dx, dy\n",
    "\n",
    "def train():\n",
    "    x = 1\n",
    "    y = 1\n",
    "    lr = 1\n",
    "    for i in range(7):\n",
    "        out, cache = f_forward(x, y)\n",
    "        print('In step %d, x is %d, y is %d, out is %d.' %(i, x, y, out))\n",
    "        dx, dy = f_backward(cache)\n",
    "        y += lr * dy\n",
    "        out, cache = f_forward(x, y)\n",
    "        print('updating y = %d, out is %d.' %(y, out))\n",
    "        \n",
    "        dx, dy = f_backward(cache)\n",
    "        x -= lr * dx\n",
    "        out, cache = f_forward(x, y)\n",
    "        print('updating x = %d, out is %d.' %(x, out))\n",
    "        \n",
    "train()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
